--- OA_place: repository OA_type: green _id: '12312' abstract: - lang: eng text: "Let $\\ell$ be a prime number. We classify the subgroups $G$ of $\\operatorname{Sp}_4(\\mathbb{F}_\\ell)$ and $\\operatorname{GSp}_4(\\mathbb{F}_\\ell)$ that act irreducibly on $\\mathbb{F}_\\ell^4$, but such that every element of $G$ fixes an $\\mathbb{F}_\\ell$-vector subspace of dimension 1. We use this classification to prove that the local-global principle for isogenies of degree $\\ell$ between abelian surfaces over number fields holds in many cases -- in particular, whenever the abelian surface has non-trivial endomorphisms and $\\ell$ is large enough with respect to the field of definition. Finally, we prove that there exist arbitrarily large primes $\\ell$ for which some abelian surface\r\n$A/\\mathbb{Q}$ fails the local-global principle for isogenies of degree $\\ell$." acknowledgement: "It is a pleasure to thank Samuele Anni for his interest in this project and for several discussions on the topic of this paper, which led in particular to Remark 6.30 and to a better understanding of the difficulties with [6]. We also thank John Cullinan for correspondence about [6] and Barinder Banwait for his many insightful comments on the first version of this paper. Finally, we thank the referee for their thorough reading of the manuscript.\r\nOpen access funding provided by Università di Pisa within the CRUI-CARE Agreement. The authors have been partially supported by MIUR (Italy) through PRIN 2017 “Geometric, algebraic and analytic methods in arithmetic\" and PRIN 2022 “Semiabelian varieties, Galois representations and related Diophantine problems\", and by the University of Pisa through PRA 2018-19 and 2022 “Spazi di moduli, rappresentazioni e strutture combinatorie\". The first author is a member of the INdAM group GNSAGA." article_number: '18' article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Davide full_name: Lombardo, Davide last_name: Lombardo - first_name: Matteo full_name: Verzobio, Matteo id: 7aa8f170-131e-11ed-88e1-a9efd01027cb last_name: Verzobio orcid: 0000-0002-0854-0306 date_created: 2023-01-16T11:45:53Z date_published: 2024-01-26T00:00:00Z date_updated: 2025-02-13T11:47:12Z day: '26' department: - _id: TiBr doi: 10.1007/s00029-023-00908-0 external_id: arxiv: - '2206.15240' intvolume: ' 30' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2206.15240 month: '01' oa: 1 oa_version: Preprint publication: Selecta Mathematica publication_identifier: eissn: - 1420-9020 issn: - 4321-1234 issnl: - 1022-1824 publication_status: epub_ahead publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: On the local-global principle for isogenies of abelian surfaces type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 30 year: '2024' ... --- _id: '8682' abstract: - lang: eng text: It is known that the Brauer--Manin obstruction to the Hasse principle is vacuous for smooth Fano hypersurfaces of dimension at least 3 over any number field. Moreover, for such varieties it follows from a general conjecture of Colliot-Thélène that the Brauer--Manin obstruction to the Hasse principle should be the only one, so that the Hasse principle is expected to hold. Working over the field of rational numbers and ordering Fano hypersurfaces of fixed degree and dimension by height, we prove that almost every such hypersurface satisfies the Hasse principle provided that the dimension is at least 3. This proves a conjecture of Poonen and Voloch in every case except for cubic surfaces. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: Pierre Le full_name: Boudec, Pierre Le last_name: Boudec - first_name: Will full_name: Sawin, Will last_name: Sawin citation: ama: Browning TD, Boudec PL, Sawin W. The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. 2023;197(3):1115-1203. doi:10.4007/annals.2023.197.3.3 apa: Browning, T. D., Boudec, P. L., & Sawin, W. (2023). The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2023.197.3.3 chicago: Browning, Timothy D, Pierre Le Boudec, and Will Sawin. “The Hasse Principle for Random Fano Hypersurfaces.” Annals of Mathematics. Princeton University, 2023. https://doi.org/10.4007/annals.2023.197.3.3. ieee: T. D. Browning, P. L. Boudec, and W. Sawin, “The Hasse principle for random Fano hypersurfaces,” Annals of Mathematics, vol. 197, no. 3. Princeton University, pp. 1115–1203, 2023. ista: Browning TD, Boudec PL, Sawin W. 2023. The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. 197(3), 1115–1203. mla: Browning, Timothy D., et al. “The Hasse Principle for Random Fano Hypersurfaces.” Annals of Mathematics, vol. 197, no. 3, Princeton University, 2023, pp. 1115–203, doi:10.4007/annals.2023.197.3.3. short: T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203. date_created: 2020-10-19T14:28:50Z date_published: 2023-05-01T00:00:00Z date_updated: 2025-08-11T11:59:49Z day: '01' department: - _id: TiBr doi: 10.4007/annals.2023.197.3.3 external_id: arxiv: - '2006.02356' isi: - '000966611000003' oaworkID: - w3033938593 intvolume: ' 197' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2006.02356 month: '05' oa: 1 oa_version: Preprint oaworkID: 1 page: 1115-1203 publication: Annals of Mathematics publication_identifier: issn: - 0003-486X publication_status: published publisher: Princeton University quality_controlled: '1' related_material: link: - description: News on IST Homepage relation: press_release url: https://ist.ac.at/en/news/when-is-necessary-sufficient/ status: public title: The Hasse principle for random Fano hypersurfaces type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 197 year: '2023' ... --- _id: '14717' abstract: - lang: eng text: We count primitive lattices of rank d inside Zn as their covolume tends to infinity, with respect to certain parameters of such lattices. These parameters include, for example, the subspace that a lattice spans, namely its projection to the Grassmannian; its homothety class and its equivalence class modulo rescaling and rotation, often referred to as a shape. We add to a prior work of Schmidt by allowing sets in the spaces of parameters that are general enough to conclude the joint equidistribution of these parameters. In addition to the primitive d-lattices Λ themselves, we also consider their orthogonal complements in Zn⁠, A1⁠, and show that the equidistribution occurs jointly for Λ and A1⁠. Finally, our asymptotic formulas for the number of primitive lattices include an explicit bound on the error term. acknowledgement: This work was done when both authors were visiting Institute of Science and Technology (IST) Austria. T.H. was being supported by Engineering and Physical Sciences Research Council grant EP/P026710/1. Y.K. had a great time there and is grateful for the hospitality. The appendix to this paper is largely based on a mini course T.H. had given at IST in February 2020. article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Tal full_name: Horesh, Tal id: C8B7BF48-8D81-11E9-BCA9-F536E6697425 last_name: Horesh - first_name: Yakov full_name: Karasik, Yakov last_name: Karasik citation: ama: Horesh T, Karasik Y. Equidistribution of primitive lattices in ℝn. Quarterly Journal of Mathematics. 2023;74(4):1253-1294. doi:10.1093/qmath/haad008 apa: Horesh, T., & Karasik, Y. (2023). Equidistribution of primitive lattices in ℝn. Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qmath/haad008 chicago: Horesh, Tal, and Yakov Karasik. “Equidistribution of Primitive Lattices in ℝn.” Quarterly Journal of Mathematics. Oxford University Press, 2023. https://doi.org/10.1093/qmath/haad008. ieee: T. Horesh and Y. Karasik, “Equidistribution of primitive lattices in ℝn,” Quarterly Journal of Mathematics, vol. 74, no. 4. Oxford University Press, pp. 1253–1294, 2023. ista: Horesh T, Karasik Y. 2023. Equidistribution of primitive lattices in ℝn. Quarterly Journal of Mathematics. 74(4), 1253–1294. mla: Horesh, Tal, and Yakov Karasik. “Equidistribution of Primitive Lattices in ℝn.” Quarterly Journal of Mathematics, vol. 74, no. 4, Oxford University Press, 2023, pp. 1253–94, doi:10.1093/qmath/haad008. short: T. Horesh, Y. Karasik, Quarterly Journal of Mathematics 74 (2023) 1253–1294. date_created: 2023-12-31T23:01:03Z date_published: 2023-12-01T00:00:00Z date_updated: 2024-01-02T07:39:55Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1093/qmath/haad008 external_id: arxiv: - '2012.04508' file: - access_level: open_access checksum: bf29baa9eae8500f3374dbcb80712687 content_type: application/pdf creator: dernst date_created: 2024-01-02T07:37:09Z date_updated: 2024-01-02T07:37:09Z file_id: '14720' file_name: 2023_QuarterlyJourMath_Horesh.pdf file_size: 724748 relation: main_file success: 1 file_date_updated: 2024-01-02T07:37:09Z has_accepted_license: '1' intvolume: ' 74' issue: '4' language: - iso: eng month: '12' oa: 1 oa_version: Published Version page: 1253-1294 project: - _id: 26A8D266-B435-11E9-9278-68D0E5697425 grant_number: EP-P026710-2 name: Between rational and integral points publication: Quarterly Journal of Mathematics publication_identifier: eissn: - 1464-3847 issn: - 0033-5606 publication_status: published publisher: Oxford University Press quality_controlled: '1' scopus_import: '1' status: public title: Equidistribution of primitive lattices in ℝn tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 74 year: '2023' ... --- _id: '13091' abstract: - lang: eng text: We use a function field version of the Hardy–Littlewood circle method to study the locus of free rational curves on an arbitrary smooth projective hypersurface of sufficiently low degree. On the one hand this allows us to bound the dimension of the singular locus of the moduli space of rational curves on such hypersurfaces and, on the other hand, it sheds light on Peyre’s reformulation of the Batyrev–Manin conjecture in terms of slopes with respect to the tangent bundle. acknowledgement: The authors are grateful to Paul Nelson, Per Salberger and Jason Starr for useful comments. While working on this paper the first author was supported by EPRSC grant EP/P026710/1. The research was partially conducted during the period the second author served as a Clay Research Fellow, and partially conducted during the period he was supported by Dr. Max Rössler, the Walter Haefner Foundation and the ETH Zurich Foundation. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: Will full_name: Sawin, Will last_name: Sawin citation: ama: Browning TD, Sawin W. Free rational curves on low degree hypersurfaces and the circle method. Algebra and Number Theory. 2023;17(3):719-748. doi:10.2140/ant.2023.17.719 apa: Browning, T. D., & Sawin, W. (2023). Free rational curves on low degree hypersurfaces and the circle method. Algebra and Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2023.17.719 chicago: Browning, Timothy D, and Will Sawin. “Free Rational Curves on Low Degree Hypersurfaces and the Circle Method.” Algebra and Number Theory. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/ant.2023.17.719. ieee: T. D. Browning and W. Sawin, “Free rational curves on low degree hypersurfaces and the circle method,” Algebra and Number Theory, vol. 17, no. 3. Mathematical Sciences Publishers, pp. 719–748, 2023. ista: Browning TD, Sawin W. 2023. Free rational curves on low degree hypersurfaces and the circle method. Algebra and Number Theory. 17(3), 719–748. mla: Browning, Timothy D., and Will Sawin. “Free Rational Curves on Low Degree Hypersurfaces and the Circle Method.” Algebra and Number Theory, vol. 17, no. 3, Mathematical Sciences Publishers, 2023, pp. 719–48, doi:10.2140/ant.2023.17.719. short: T.D. Browning, W. Sawin, Algebra and Number Theory 17 (2023) 719–748. date_created: 2023-05-28T22:01:02Z date_published: 2023-04-12T00:00:00Z date_updated: 2023-08-01T14:51:57Z day: '12' ddc: - '510' department: - _id: TiBr doi: 10.2140/ant.2023.17.719 external_id: arxiv: - '1810.06882' isi: - '000996014700004' file: - access_level: open_access checksum: 5d5d67b235905650e33cf7065d7583b4 content_type: application/pdf creator: dernst date_created: 2023-05-30T08:05:22Z date_updated: 2023-05-30T08:05:22Z file_id: '13101' file_name: 2023_AlgebraNumberTheory_Browning.pdf file_size: 1430719 relation: main_file success: 1 file_date_updated: 2023-05-30T08:05:22Z has_accepted_license: '1' intvolume: ' 17' isi: 1 issue: '3' language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: 719-748 project: - _id: 26A8D266-B435-11E9-9278-68D0E5697425 grant_number: EP-P026710-2 name: Between rational and integral points publication: Algebra and Number Theory publication_identifier: eissn: - 1944-7833 issn: - 1937-0652 publication_status: published publisher: Mathematical Sciences Publishers quality_controlled: '1' scopus_import: '1' status: public title: Free rational curves on low degree hypersurfaces and the circle method tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 17 year: '2023' ... --- _id: '13180' abstract: - lang: eng text: We study the density of everywhere locally soluble diagonal quadric surfaces, parameterised by rational points that lie on a split quadric surface article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: Julian full_name: Lyczak, Julian id: 3572849A-F248-11E8-B48F-1D18A9856A87 last_name: Lyczak - first_name: Roman full_name: Sarapin, Roman last_name: Sarapin citation: ama: Browning TD, Lyczak J, Sarapin R. Local solubility for a family of quadrics over a split quadric surface. Involve. 2023;16(2):331-342. doi:10.2140/involve.2023.16.331 apa: Browning, T. D., Lyczak, J., & Sarapin, R. (2023). Local solubility for a family of quadrics over a split quadric surface. Involve. Mathematical Sciences Publishers. https://doi.org/10.2140/involve.2023.16.331 chicago: Browning, Timothy D, Julian Lyczak, and Roman Sarapin. “Local Solubility for a Family of Quadrics over a Split Quadric Surface.” Involve. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/involve.2023.16.331. ieee: T. D. Browning, J. Lyczak, and R. Sarapin, “Local solubility for a family of quadrics over a split quadric surface,” Involve, vol. 16, no. 2. Mathematical Sciences Publishers, pp. 331–342, 2023. ista: Browning TD, Lyczak J, Sarapin R. 2023. Local solubility for a family of quadrics over a split quadric surface. Involve. 16(2), 331–342. mla: Browning, Timothy D., et al. “Local Solubility for a Family of Quadrics over a Split Quadric Surface.” Involve, vol. 16, no. 2, Mathematical Sciences Publishers, 2023, pp. 331–42, doi:10.2140/involve.2023.16.331. short: T.D. Browning, J. Lyczak, R. Sarapin, Involve 16 (2023) 331–342. date_created: 2023-07-02T22:00:43Z date_published: 2023-05-26T00:00:00Z date_updated: 2023-07-17T08:39:19Z day: '26' department: - _id: TiBr doi: 10.2140/involve.2023.16.331 external_id: arxiv: - '2203.06881' intvolume: ' 16' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2203.06881 month: '05' oa: 1 oa_version: Preprint page: 331-342 publication: Involve publication_identifier: eissn: - 1944-4184 issn: - 1944-4176 publication_status: published publisher: Mathematical Sciences Publishers quality_controlled: '1' scopus_import: '1' status: public title: Local solubility for a family of quadrics over a split quadric surface type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 16 year: '2023' ... --- _id: '13973' abstract: - lang: eng text: We construct families of log K3 surfaces and study the arithmetic of their members. We use this to produce explicit surfaces with an order 5 Brauer–Manin obstruction to the integral Hasse principle. acknowledgement: "This paper was completed as part of a project which received funding from the\r\nEuropean Union’s Horizon 2020 research and innovation programme under the Marie\r\nSkłodowska-Curie grant agreement No. 754411." article_processing_charge: Yes (in subscription journal) article_type: original arxiv: 1 author: - first_name: Julian full_name: Lyczak, Julian id: 3572849A-F248-11E8-B48F-1D18A9856A87 last_name: Lyczak citation: ama: Lyczak J. Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l’Institut Fourier. 2023;73(2):447-478. doi:10.5802/aif.3529 apa: Lyczak, J. (2023). Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier. https://doi.org/10.5802/aif.3529 chicago: Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse Principle on Log K3 Surfaces.” Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier, 2023. https://doi.org/10.5802/aif.3529. ieee: J. Lyczak, “Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces,” Annales de l’Institut Fourier, vol. 73, no. 2. Association des Annales de l’Institut Fourier, pp. 447–478, 2023. ista: Lyczak J. 2023. Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l’Institut Fourier. 73(2), 447–478. mla: Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse Principle on Log K3 Surfaces.” Annales de l’Institut Fourier, vol. 73, no. 2, Association des Annales de l’Institut Fourier, 2023, pp. 447–78, doi:10.5802/aif.3529. short: J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478. date_created: 2023-08-06T22:01:12Z date_published: 2023-05-12T00:00:00Z date_updated: 2023-12-13T12:03:04Z day: '12' ddc: - '510' department: - _id: TiBr doi: 10.5802/aif.3529 ec_funded: 1 external_id: arxiv: - '2005.14013' isi: - '001000279500001' file: - access_level: open_access checksum: daf53fc614c894422e4c0fb3d2a2ae3e content_type: application/pdf creator: dernst date_created: 2023-08-07T07:19:42Z date_updated: 2023-08-07T07:19:42Z file_id: '13977' file_name: 2023_AnnalesFourier_Lyczak.pdf file_size: 1529821 relation: main_file success: 1 file_date_updated: 2023-08-07T07:19:42Z has_accepted_license: '1' intvolume: ' 73' isi: 1 issue: '2' language: - iso: eng license: https://creativecommons.org/licenses/by-nd/4.0/ month: '05' oa: 1 oa_version: Published Version page: 447-478 project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Annales de l'Institut Fourier publication_identifier: issn: - 0373-0956 publication_status: published publisher: Association des Annales de l'Institut Fourier quality_controlled: '1' scopus_import: '1' status: public title: Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces tmp: image: /image/cc_by_nd.png legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0) short: CC BY-ND (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 73 year: '2023' ... --- _id: '14245' abstract: - lang: eng text: We establish effective counting results for lattice points in families of domains in real, complex and quaternionic hyperbolic spaces of any dimension. The domains we focus on are defined as product sets with respect to an Iwasawa decomposition. Several natural diophantine problems can be reduced to counting lattice points in such domains. These include equidistribution of the ratio of the length of the shortest solution (x,y) to the gcd equation bx−ay=1 relative to the length of (a,b), where (a,b) ranges over primitive vectors in a disc whose radius increases, the natural analog of this problem in imaginary quadratic number fields, as well as equidistribution of integral solutions to the diophantine equation defined by an integral Lorentz form in three or more variables. We establish an effective rate of convergence for these equidistribution problems, depending on the size of the spectral gap associated with a suitable lattice subgroup in the isometry group of the relevant hyperbolic space. The main result underlying our discussion amounts to establishing effective joint equidistribution for the horospherical component and the radial component in the Iwasawa decomposition of lattice elements. acknowledgement: The authors thank the referee for important comments which led to significant improvements is the presentation of several results in the paper. They also thank Ami Paz for preparing the figures for this paper. Horesh thanks Ami Paz and Yakov Karasik for helpful discussions. Nevo thanks John Parker and Rene Rühr for providing some very useful references. Nevo is supported by ISF Grant No. 2095/15. article_processing_charge: Yes article_type: original arxiv: 1 author: - first_name: Tal full_name: Horesh, Tal id: C8B7BF48-8D81-11E9-BCA9-F536E6697425 last_name: Horesh - first_name: Amos full_name: Nevo, Amos last_name: Nevo citation: ama: 'Horesh T, Nevo A. Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution. Pacific Journal of Mathematics. 2023;324(2):265-294. doi:10.2140/pjm.2023.324.265' apa: 'Horesh, T., & Nevo, A. (2023). Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution. Pacific Journal of Mathematics. Mathematical Sciences Publishers. https://doi.org/10.2140/pjm.2023.324.265' chicago: 'Horesh, Tal, and Amos Nevo. “Horospherical Coordinates of Lattice Points in Hyperbolic Spaces: Effective Counting and Equidistribution.” Pacific Journal of Mathematics. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/pjm.2023.324.265.' ieee: 'T. Horesh and A. Nevo, “Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution,” Pacific Journal of Mathematics, vol. 324, no. 2. Mathematical Sciences Publishers, pp. 265–294, 2023.' ista: 'Horesh T, Nevo A. 2023. Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution. Pacific Journal of Mathematics. 324(2), 265–294.' mla: 'Horesh, Tal, and Amos Nevo. “Horospherical Coordinates of Lattice Points in Hyperbolic Spaces: Effective Counting and Equidistribution.” Pacific Journal of Mathematics, vol. 324, no. 2, Mathematical Sciences Publishers, 2023, pp. 265–94, doi:10.2140/pjm.2023.324.265.' short: T. Horesh, A. Nevo, Pacific Journal of Mathematics 324 (2023) 265–294. date_created: 2023-08-27T22:01:18Z date_published: 2023-07-26T00:00:00Z date_updated: 2023-12-13T12:19:42Z day: '26' ddc: - '510' department: - _id: TiBr doi: 10.2140/pjm.2023.324.265 external_id: arxiv: - '1612.08215' isi: - '001047690500001' file: - access_level: open_access checksum: a675b53cfb31fa46be1e879b7e77fe8c content_type: application/pdf creator: dernst date_created: 2023-09-05T07:26:17Z date_updated: 2023-09-05T07:26:17Z file_id: '14267' file_name: 2023_PacificJourMaths_Horesh.pdf file_size: 654895 relation: main_file success: 1 file_date_updated: 2023-09-05T07:26:17Z has_accepted_license: '1' intvolume: ' 324' isi: 1 issue: '2' language: - iso: eng month: '07' oa: 1 oa_version: Published Version page: 265-294 publication: Pacific Journal of Mathematics publication_identifier: eissn: - 1945-5844 issn: - 0030-8730 publication_status: published publisher: Mathematical Sciences Publishers quality_controlled: '1' scopus_import: '1' status: public title: 'Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 324 year: '2023' ... --- _id: '9034' abstract: - lang: eng text: We determine an asymptotic formula for the number of integral points of bounded height on a blow-up of P3 outside certain planes using universal torsors. acknowledgement: This work was supported by the German Academic Exchange Service. Parts of this article were prepared at the Institut de Mathémathiques de Jussieu—Paris Rive Gauche. I wish to thank Antoine Chambert-Loir for his remarks and the institute for its hospitality, as well as the anonymous referee for several useful remarks and suggestions for improvements. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Florian Alexander full_name: Wilsch, Florian Alexander id: 560601DA-8D36-11E9-A136-7AC1E5697425 last_name: Wilsch orcid: 0000-0001-7302-8256 citation: ama: Wilsch FA. Integral points of bounded height on a log Fano threefold. International Mathematics Research Notices. 2023;2023(8):6780-6808. doi:10.1093/imrn/rnac048 apa: Wilsch, F. A. (2023). Integral points of bounded height on a log Fano threefold. International Mathematics Research Notices. Oxford Academic. https://doi.org/10.1093/imrn/rnac048 chicago: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.” International Mathematics Research Notices. Oxford Academic, 2023. https://doi.org/10.1093/imrn/rnac048. ieee: F. A. Wilsch, “Integral points of bounded height on a log Fano threefold,” International Mathematics Research Notices, vol. 2023, no. 8. Oxford Academic, pp. 6780–6808, 2023. ista: Wilsch FA. 2023. Integral points of bounded height on a log Fano threefold. International Mathematics Research Notices. 2023(8), 6780–6808. mla: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.” International Mathematics Research Notices, vol. 2023, no. 8, Oxford Academic, 2023, pp. 6780–808, doi:10.1093/imrn/rnac048. short: F.A. Wilsch, International Mathematics Research Notices 2023 (2023) 6780–6808. date_created: 2021-01-22T09:31:09Z date_published: 2023-04-01T00:00:00Z date_updated: 2023-08-01T12:23:55Z day: '01' department: - _id: TiBr doi: 10.1093/imrn/rnac048 external_id: arxiv: - '1901.08503' isi: - '000773116000001' intvolume: ' 2023' isi: 1 issue: '8' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1901.08503 month: '04' oa: 1 oa_version: Preprint page: 6780-6808 publication: International Mathematics Research Notices publication_identifier: eissn: - 1687-0247 issn: - 1073-7928 publication_status: published publisher: Oxford Academic quality_controlled: '1' status: public title: Integral points of bounded height on a log Fano threefold type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 2023 year: '2023' ... --- _id: '12313' abstract: - lang: eng text: Let P be a nontorsion point on an elliptic curve defined over a number field K and consider the sequence {Bn}n∈N of the denominators of x(nP). We prove that every term of the sequence of the Bn has a primitive divisor for n greater than an effectively computable constant that we will explicitly compute. This constant will depend only on the model defining the curve. acknowledgement: "This paper is part of the author’s PhD thesis at Università of Pisa. Moreover, this\r\nproject has received funding from the European Union’s Horizon 2020 research\r\nand innovation programme under the Marie Skłodowska-Curie Grant Agreement\r\nNo. 101034413. I thank the referee for many helpful comments." article_processing_charge: Yes (in subscription journal) article_type: original arxiv: 1 author: - first_name: Matteo full_name: Verzobio, Matteo id: 7aa8f170-131e-11ed-88e1-a9efd01027cb last_name: Verzobio orcid: 0000-0002-0854-0306 citation: ama: Verzobio M. Some effectivity results for primitive divisors of elliptic divisibility  sequences. Pacific Journal of Mathematics. 2023;325(2):331-351. doi:10.2140/pjm.2023.325.331 apa: Verzobio, M. (2023). Some effectivity results for primitive divisors of elliptic divisibility  sequences. Pacific Journal of Mathematics. Mathematical Sciences Publishers. https://doi.org/10.2140/pjm.2023.325.331 chicago: Verzobio, Matteo. “Some Effectivity Results for Primitive Divisors of Elliptic Divisibility  Sequences.” Pacific Journal of Mathematics. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/pjm.2023.325.331. ieee: M. Verzobio, “Some effectivity results for primitive divisors of elliptic divisibility  sequences,” Pacific Journal of Mathematics, vol. 325, no. 2. Mathematical Sciences Publishers, pp. 331–351, 2023. ista: Verzobio M. 2023. Some effectivity results for primitive divisors of elliptic divisibility  sequences. Pacific Journal of Mathematics. 325(2), 331–351. mla: Verzobio, Matteo. “Some Effectivity Results for Primitive Divisors of Elliptic Divisibility  Sequences.” Pacific Journal of Mathematics, vol. 325, no. 2, Mathematical Sciences Publishers, 2023, pp. 331–51, doi:10.2140/pjm.2023.325.331. short: M. Verzobio, Pacific Journal of Mathematics 325 (2023) 331–351. date_created: 2023-01-16T11:46:19Z date_published: 2023-11-03T00:00:00Z date_updated: 2023-12-13T11:18:14Z day: '03' ddc: - '510' department: - _id: TiBr doi: 10.2140/pjm.2023.325.331 ec_funded: 1 external_id: arxiv: - '2001.02987' isi: - '001104766900001' file: - access_level: open_access checksum: b6218d16a72742d8bb38d6fc3c9bb8c6 content_type: application/pdf creator: dernst date_created: 2023-11-13T09:50:41Z date_updated: 2023-11-13T09:50:41Z file_id: '14525' file_name: 2023_PacificJourMaths_Verzobio.pdf file_size: 389897 relation: main_file success: 1 file_date_updated: 2023-11-13T09:50:41Z has_accepted_license: '1' intvolume: ' 325' isi: 1 issue: '2' language: - iso: eng month: '11' oa: 1 oa_version: Published Version page: 331-351 project: - _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c call_identifier: H2020 grant_number: '101034413' name: 'IST-BRIDGE: International postdoctoral program' publication: Pacific Journal of Mathematics publication_identifier: eissn: - 0030-8730 publication_status: published publisher: Mathematical Sciences Publishers quality_controlled: '1' scopus_import: '1' status: public title: Some effectivity results for primitive divisors of elliptic divisibility sequences tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 325 year: '2023' ... --- _id: '12427' abstract: - lang: eng text: 'Let k be a number field and X a smooth, geometrically integral quasi-projective variety over k. For any linear algebraic group G over k and any G-torsor g : Z → X, we observe that if the étale-Brauer obstruction is the only one for strong approximation off a finite set of places S for all twists of Z by elements in H^1(k, G), then the étale-Brauer obstruction is the only one for strong approximation off a finite set of places S for X. As an application, we show that any homogeneous space of the form G/H with G a connected linear algebraic group over k satisfies strong approximation off the infinite places with étale-Brauer obstruction, under some compactness assumptions when k is totally real. We also prove more refined strong approximation results for homogeneous spaces of the form G/H with G semisimple simply connected and H finite, using the theory of torsors and descent.' article_processing_charge: No article_type: original author: - first_name: Francesca full_name: Balestrieri, Francesca id: 3ACCD756-F248-11E8-B48F-1D18A9856A87 last_name: Balestrieri citation: ama: Balestrieri F. Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. Proceedings of the American Mathematical Society. 2023;151(3):907-914. doi:10.1090/proc/15239 apa: Balestrieri, F. (2023). Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. Proceedings of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/proc/15239 chicago: Balestrieri, Francesca. “Some Remarks on Strong Approximation and Applications to Homogeneous Spaces of Linear Algebraic Groups.” Proceedings of the American Mathematical Society. American Mathematical Society, 2023. https://doi.org/10.1090/proc/15239. ieee: F. Balestrieri, “Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups,” Proceedings of the American Mathematical Society, vol. 151, no. 3. American Mathematical Society, pp. 907–914, 2023. ista: Balestrieri F. 2023. Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. Proceedings of the American Mathematical Society. 151(3), 907–914. mla: Balestrieri, Francesca. “Some Remarks on Strong Approximation and Applications to Homogeneous Spaces of Linear Algebraic Groups.” Proceedings of the American Mathematical Society, vol. 151, no. 3, American Mathematical Society, 2023, pp. 907–14, doi:10.1090/proc/15239. short: F. Balestrieri, Proceedings of the American Mathematical Society 151 (2023) 907–914. date_created: 2023-01-29T23:00:58Z date_published: 2023-01-01T00:00:00Z date_updated: 2023-08-01T13:03:32Z day: '01' department: - _id: TiBr doi: 10.1090/proc/15239 external_id: isi: - '000898440000001' intvolume: ' 151' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://hal.science/hal-03013498/ month: '01' oa: 1 oa_version: Preprint page: 907-914 publication: Proceedings of the American Mathematical Society publication_identifier: eissn: - 1088-6826 issn: - 0002-9939 publication_status: published publisher: American Mathematical Society quality_controlled: '1' scopus_import: '1' status: public title: Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 151 year: '2023' ... --- _id: '12916' abstract: - lang: eng text: "We apply a variant of the square-sieve to produce an upper bound for the number of rational points of bounded height on a family of surfaces that admit a fibration over P1 whose general fibre is a hyperelliptic curve. The implied constant does not depend on the coefficients of the polynomial defining the surface.\r\n" article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Dante full_name: Bonolis, Dante id: 6A459894-5FDD-11E9-AF35-BB24E6697425 last_name: Bonolis - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 citation: ama: Bonolis D, Browning TD. Uniform bounds for rational points on hyperelliptic fibrations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 2023;24(1):173-204. doi:10.2422/2036-2145.202010_018 apa: Bonolis, D., & Browning, T. D. (2023). Uniform bounds for rational points on hyperelliptic fibrations. Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze. Scuola Normale Superiore - Edizioni della Normale. https://doi.org/10.2422/2036-2145.202010_018 chicago: Bonolis, Dante, and Timothy D Browning. “Uniform Bounds for Rational Points on Hyperelliptic Fibrations.” Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze. Scuola Normale Superiore - Edizioni della Normale, 2023. https://doi.org/10.2422/2036-2145.202010_018. ieee: D. Bonolis and T. D. Browning, “Uniform bounds for rational points on hyperelliptic fibrations,” Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, vol. 24, no. 1. Scuola Normale Superiore - Edizioni della Normale, pp. 173–204, 2023. ista: Bonolis D, Browning TD. 2023. Uniform bounds for rational points on hyperelliptic fibrations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 24(1), 173–204. mla: Bonolis, Dante, and Timothy D. Browning. “Uniform Bounds for Rational Points on Hyperelliptic Fibrations.” Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze, vol. 24, no. 1, Scuola Normale Superiore - Edizioni della Normale, 2023, pp. 173–204, doi:10.2422/2036-2145.202010_018. short: D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze 24 (2023) 173–204. date_created: 2023-05-07T22:01:04Z date_published: 2023-02-16T00:00:00Z date_updated: 2023-10-18T06:54:30Z day: '16' department: - _id: TiBr doi: 10.2422/2036-2145.202010_018 external_id: arxiv: - '2007.14182' intvolume: ' 24' issue: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2007.14182 month: '02' oa: 1 oa_version: Preprint page: 173-204 publication: Annali della Scuola Normale Superiore di Pisa - Classe di Scienze publication_identifier: eissn: - 2036-2145 issn: - 0391-173X publication_status: published publisher: Scuola Normale Superiore - Edizioni della Normale quality_controlled: '1' scopus_import: '1' status: public title: Uniform bounds for rational points on hyperelliptic fibrations type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 24 year: '2023' ... --- _id: '10765' abstract: - lang: eng text: We establish the Hardy-Littlewood property (à la Borovoi-Rudnick) for Zariski open subsets in affine quadrics of the form q(x1,...,xn)=m, where q is a non-degenerate integral quadratic form in n>3 variables and m is a non-zero integer. This gives asymptotic formulas for the density of integral points taking coprime polynomial values, which is a quantitative version of the arithmetic purity of strong approximation property off infinity for affine quadrics. acknowledgement: "We are grateful to Mikhail Borovoi, Zeev Rudnick and Olivier Wienberg for their interest in our\r\nwork. We would like to address our gratitude to Ulrich Derenthal for his generous support at Leibniz Universitat Hannover. We are in debt to Tim Browning for an enlightening discussion and to the anonymous referees for critical comments, which lead to overall improvements of various preliminary versions of this paper. Part of this work was carried out and reported during a visit to the University of Science and Technology of China. We thank Yongqi Liang for offering warm hospitality. The first author was supported by a Humboldt-Forschungsstipendium. The second author was supported by grant DE 1646/4-2 of the Deutsche Forschungsgemeinschaft." article_number: '108236' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Yang full_name: Cao, Yang last_name: Cao - first_name: Zhizhong full_name: Huang, Zhizhong id: 21f1b52f-2fd1-11eb-a347-a4cdb9b18a51 last_name: Huang citation: ama: Cao Y, Huang Z. Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics. Advances in Mathematics. 2022;398(3). doi:10.1016/j.aim.2022.108236 apa: Cao, Y., & Huang, Z. (2022). Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2022.108236 chicago: Cao, Yang, and Zhizhong Huang. “Arithmetic Purity of the Hardy-Littlewood Property and Geometric Sieve for Affine Quadrics.” Advances in Mathematics. Elsevier, 2022. https://doi.org/10.1016/j.aim.2022.108236. ieee: Y. Cao and Z. Huang, “Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics,” Advances in Mathematics, vol. 398, no. 3. Elsevier, 2022. ista: Cao Y, Huang Z. 2022. Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics. Advances in Mathematics. 398(3), 108236. mla: Cao, Yang, and Zhizhong Huang. “Arithmetic Purity of the Hardy-Littlewood Property and Geometric Sieve for Affine Quadrics.” Advances in Mathematics, vol. 398, no. 3, 108236, Elsevier, 2022, doi:10.1016/j.aim.2022.108236. short: Y. Cao, Z. Huang, Advances in Mathematics 398 (2022). date_created: 2022-02-20T23:01:30Z date_published: 2022-03-26T00:00:00Z date_updated: 2023-08-02T14:24:18Z day: '26' department: - _id: TiBr doi: 10.1016/j.aim.2022.108236 external_id: arxiv: - '2003.07287' isi: - '000792517300014' intvolume: ' 398' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2003.07287 month: '03' oa: 1 oa_version: Preprint publication: Advances in Mathematics publication_identifier: eissn: - 1090-2082 issn: - 0001-8708 publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 398 year: '2022' ... --- _id: '10788' abstract: - lang: eng text: "We determine an asymptotic formula for the number of integral points of\r\nbounded height on a certain toric variety, which is incompatible with part of a\r\npreprint by Chambert-Loir and Tschinkel. We provide an alternative\r\ninterpretation of the asymptotic formula we get. To do so, we construct an\r\nanalogue of Peyre's constant $\\alpha$ and describe its relation to a new\r\nobstruction to the Zariski density of integral points in certain regions of\r\nvarieties." acknowledgement: "Part of this work was conducted as a guest at the Institut de Mathématiques de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD.\r\nDuring this time, I had interesting and fruitful discussions on the interpretation of the result for\r\nthe toric variety discussed in Section 3 with Antoine Chambert-Loir. I wish to thank him for these\r\nopportunities and for his useful remarks on earlier versions of this article. This work was partly\r\nfunded by FWF grant P 32428-N35." article_number: '2202.10909' article_processing_charge: No arxiv: 1 author: - first_name: Florian Alexander full_name: Wilsch, Florian Alexander id: 560601DA-8D36-11E9-A136-7AC1E5697425 last_name: Wilsch orcid: 0000-0001-7302-8256 citation: ama: Wilsch FA. Integral points of bounded height on a certain toric variety. arXiv. doi:10.48550/arXiv.2202.10909 apa: Wilsch, F. A. (n.d.). Integral points of bounded height on a certain toric variety. arXiv. https://doi.org/10.48550/arXiv.2202.10909 chicago: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain Toric Variety.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2202.10909. ieee: F. A. Wilsch, “Integral points of bounded height on a certain toric variety,” arXiv. . ista: Wilsch FA. Integral points of bounded height on a certain toric variety. arXiv, 2202.10909. mla: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain Toric Variety.” ArXiv, 2202.10909, doi:10.48550/arXiv.2202.10909. short: F.A. Wilsch, ArXiv (n.d.). date_created: 2022-02-23T09:04:43Z date_published: 2022-02-22T00:00:00Z date_updated: 2023-05-03T07:46:35Z day: '22' department: - _id: TiBr doi: 10.48550/arXiv.2202.10909 external_id: arxiv: - '2202.10909' keyword: - Integral point - toric variety - Manin's conjecture language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2202.10909 month: '02' oa: 1 oa_version: Preprint project: - _id: 26AEDAB2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P32428 name: New frontiers of the Manin conjecture publication: arXiv publication_status: submitted status: public title: Integral points of bounded height on a certain toric variety type: preprint user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2022' ... --- _id: '11636' abstract: - lang: eng text: In [3], Poonen and Slavov recently developed a novel approach to Bertini irreducibility theorems over an arbitrary field, based on random hyperplane slicing. In this paper, we extend their work by proving an analogous bound for the dimension of the exceptional locus in the setting of linear subspaces of higher codimensions. article_number: '102085' article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Philip full_name: Kmentt, Philip id: c90670c9-0bf0-11ed-86f5-ed522ece2fac last_name: Kmentt - first_name: Alec L full_name: Shute, Alec L id: 440EB050-F248-11E8-B48F-1D18A9856A87 last_name: Shute orcid: 0000-0002-1812-2810 citation: ama: Kmentt P, Shute AL. The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and their Applications. 2022;83(10). doi:10.1016/j.ffa.2022.102085 apa: Kmentt, P., & Shute, A. L. (2022). The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and Their Applications. Elsevier. https://doi.org/10.1016/j.ffa.2022.102085 chicago: Kmentt, Philip, and Alec L Shute. “The Bertini Irreducibility Theorem for Higher Codimensional Slices.” Finite Fields and Their Applications. Elsevier, 2022. https://doi.org/10.1016/j.ffa.2022.102085. ieee: P. Kmentt and A. L. Shute, “The Bertini irreducibility theorem for higher codimensional slices,” Finite Fields and their Applications, vol. 83, no. 10. Elsevier, 2022. ista: Kmentt P, Shute AL. 2022. The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and their Applications. 83(10), 102085. mla: Kmentt, Philip, and Alec L. Shute. “The Bertini Irreducibility Theorem for Higher Codimensional Slices.” Finite Fields and Their Applications, vol. 83, no. 10, 102085, Elsevier, 2022, doi:10.1016/j.ffa.2022.102085. short: P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022). date_created: 2022-07-24T22:01:41Z date_published: 2022-10-01T00:00:00Z date_updated: 2023-08-03T12:12:57Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1016/j.ffa.2022.102085 external_id: arxiv: - '2111.06697' isi: - '000835490600001' file: - access_level: open_access checksum: 3ca88decb1011180dc6de7e0862153e1 content_type: application/pdf creator: dernst date_created: 2023-02-02T07:56:34Z date_updated: 2023-02-02T07:56:34Z file_id: '12475' file_name: 2022_FiniteFields_Kmentt.pdf file_size: 247615 relation: main_file success: 1 file_date_updated: 2023-02-02T07:56:34Z has_accepted_license: '1' intvolume: ' 83' isi: 1 issue: '10' language: - iso: eng month: '10' oa: 1 oa_version: Published Version publication: Finite Fields and their Applications publication_identifier: eissn: - '10902465' issn: - '10715797' publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: The Bertini irreducibility theorem for higher codimensional slices tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 83 year: '2022' ... --- _id: '9199' abstract: - lang: eng text: "We associate a certain tensor product lattice to any primitive integer lattice and ask about its typical shape. These lattices are related to the tangent bundle of Grassmannians and their study is motivated by Peyre's programme on \"freeness\" for rational points of bounded height on Fano\r\nvarieties." acknowledgement: The authors are very grateful to Will Sawin for useful remarks about this topic. While working on this paper the first two authors were supported by EPSRC grant EP/P026710/1, and the first and last authors by FWF grant P 32428-N35. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: Tal full_name: Horesh, Tal id: C8B7BF48-8D81-11E9-BCA9-F536E6697425 last_name: Horesh - first_name: Florian Alexander full_name: Wilsch, Florian Alexander id: 560601DA-8D36-11E9-A136-7AC1E5697425 last_name: Wilsch orcid: 0000-0001-7302-8256 citation: ama: Browning TD, Horesh T, Wilsch FA. Equidistribution and freeness on Grassmannians. Algebra & Number Theory. 2022;16(10):2385-2407. doi:10.2140/ant.2022.16.2385 apa: Browning, T. D., Horesh, T., & Wilsch, F. A. (2022). Equidistribution and freeness on Grassmannians. Algebra & Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2022.16.2385 chicago: Browning, Timothy D, Tal Horesh, and Florian Alexander Wilsch. “Equidistribution and Freeness on Grassmannians.” Algebra & Number Theory. Mathematical Sciences Publishers, 2022. https://doi.org/10.2140/ant.2022.16.2385. ieee: T. D. Browning, T. Horesh, and F. A. Wilsch, “Equidistribution and freeness on Grassmannians,” Algebra & Number Theory, vol. 16, no. 10. Mathematical Sciences Publishers, pp. 2385–2407, 2022. ista: Browning TD, Horesh T, Wilsch FA. 2022. Equidistribution and freeness on Grassmannians. Algebra & Number Theory. 16(10), 2385–2407. mla: Browning, Timothy D., et al. “Equidistribution and Freeness on Grassmannians.” Algebra & Number Theory, vol. 16, no. 10, Mathematical Sciences Publishers, 2022, pp. 2385–407, doi:10.2140/ant.2022.16.2385. short: T.D. Browning, T. Horesh, F.A. Wilsch, Algebra & Number Theory 16 (2022) 2385–2407. date_created: 2021-02-25T09:56:57Z date_published: 2022-12-01T00:00:00Z date_updated: 2023-08-02T06:46:38Z day: '01' department: - _id: TiBr doi: 10.2140/ant.2022.16.2385 external_id: arxiv: - '2102.11552' isi: - '000961514100004' intvolume: ' 16' isi: 1 issue: '10' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2102.11552 month: '12' oa: 1 oa_version: Preprint page: 2385-2407 project: - _id: 26A8D266-B435-11E9-9278-68D0E5697425 grant_number: EP-P026710-2 name: Between rational and integral points - _id: 26AEDAB2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P32428 name: New frontiers of the Manin conjecture publication: Algebra & Number Theory publication_identifier: eissn: - 1944-7833 issn: - 1937-0652 publication_status: published publisher: Mathematical Sciences Publishers quality_controlled: '1' scopus_import: '1' status: public title: Equidistribution and freeness on Grassmannians type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 16 year: '2022' ... --- _id: '9364' abstract: - lang: eng text: 'Let t : Fp → C be a complex valued function on Fp. A classical problem in analytic number theory is bounding the maximum M(t) := max 0≤H

0 there exists a large subset of a ∈ F×p such that for kl a,1,p : x → e((ax+x) / p) we have M(kla,1,p) ≥ (1−ε/√2π + o(1)) log log p, as p→∞. Finally, we prove a result on the growth of the moments of {M (kla,1,p)}a∈F×p. 2020 Mathematics Subject Classification: 11L03, 11T23 (Primary); 14F20, 60F10 (Secondary).' acknowledgement: I am most thankful to my advisor, Emmanuel Kowalski, for suggesting this problem and for his guidance during these years. I also would like to thank Youness Lamzouri for informing me about his work on sum of incomplete Birch sums and Tal Horesh for her suggestions on a previous version of the paper. Finally, I am very grateful to the anonymous referee for their careful reading of the manuscript and their valuable comments. article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Dante full_name: Bonolis, Dante id: 6A459894-5FDD-11E9-AF35-BB24E6697425 last_name: Bonolis citation: ama: Bonolis D. On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. 2022;172(3):563-590. doi:10.1017/S030500412100030X apa: Bonolis, D. (2022). On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press. https://doi.org/10.1017/S030500412100030X chicago: Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 2022. https://doi.org/10.1017/S030500412100030X. ieee: D. Bonolis, “On the size of the maximum of incomplete Kloosterman sums,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 172, no. 3. Cambridge University Press, pp. 563–590, 2022. ista: Bonolis D. 2022. On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. 172(3), 563–590. mla: Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 172, no. 3, Cambridge University Press, 2022, pp. 563–90, doi:10.1017/S030500412100030X. short: D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590. date_created: 2021-05-02T22:01:29Z date_published: 2022-05-01T00:00:00Z date_updated: 2023-08-02T06:47:48Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1017/S030500412100030X external_id: arxiv: - '1811.10563' isi: - '000784421500001' file: - access_level: open_access checksum: 614d2e9b83a78100408e4ee7752a80a8 content_type: application/pdf creator: cchlebak date_created: 2021-12-01T14:01:54Z date_updated: 2021-12-01T14:01:54Z file_id: '10395' file_name: 2021_MathProcCamPhilSoc_Bonolis.pdf file_size: 334064 relation: main_file success: 1 file_date_updated: 2021-12-01T14:01:54Z has_accepted_license: '1' intvolume: ' 172' isi: 1 issue: '3' language: - iso: eng month: '05' oa: 1 oa_version: Published Version page: 563 - 590 publication: Mathematical Proceedings of the Cambridge Philosophical Society publication_identifier: eissn: - 1469-8064 issn: - 0305-0041 publication_status: published publisher: Cambridge University Press quality_controlled: '1' scopus_import: '1' status: public title: On the size of the maximum of incomplete Kloosterman sums tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 172 year: '2022' ... --- _id: '10018' abstract: - lang: eng text: In order to study integral points of bounded log-anticanonical height on weak del Pezzo surfaces, we classify weak del Pezzo pairs. As a representative example, we consider a quartic del Pezzo surface of singularity type A1 + A3 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines. acknowledgement: The first author was partly supported by grant DE 1646/4-2 of the Deutsche Forschungsgemeinschaft. The second author was partly supported by FWF grant P 32428-N35 and conducted part of this work as a guest at the Institut de Mathématiques de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD. article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Ulrich full_name: Derenthal, Ulrich last_name: Derenthal - first_name: Florian Alexander full_name: Wilsch, Florian Alexander id: 560601DA-8D36-11E9-A136-7AC1E5697425 last_name: Wilsch orcid: 0000-0001-7302-8256 citation: ama: Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. 2022. doi:10.1017/S1474748022000482 apa: Derenthal, U., & Wilsch, F. A. (2022). Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. Cambridge University Press. https://doi.org/10.1017/S1474748022000482 chicago: Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” Journal of the Institute of Mathematics of Jussieu. Cambridge University Press, 2022. https://doi.org/10.1017/S1474748022000482. ieee: U. Derenthal and F. A. Wilsch, “Integral points on singular del Pezzo surfaces,” Journal of the Institute of Mathematics of Jussieu. Cambridge University Press, 2022. ista: Derenthal U, Wilsch FA. 2022. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. mla: Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” Journal of the Institute of Mathematics of Jussieu, Cambridge University Press, 2022, doi:10.1017/S1474748022000482. short: U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu (2022). date_created: 2021-09-15T10:06:48Z date_published: 2022-11-10T00:00:00Z date_updated: 2023-08-02T06:55:10Z day: '10' department: - _id: TiBr doi: 10.1017/S1474748022000482 external_id: arxiv: - '2109.06778' isi: - '000881319200001' isi: 1 keyword: - Integral points - del Pezzo surface - universal torsor - Manin’s conjecture language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.1017/S1474748022000482 month: '11' oa: 1 oa_version: Published Version project: - _id: 26AEDAB2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P32428 name: New frontiers of the Manin conjecture publication: Journal of the Institute of Mathematics of Jussieu publication_identifier: eissn: - '1475-3030 ' issn: - 1474-7480 publication_status: epub_ahead publisher: Cambridge University Press quality_controlled: '1' scopus_import: '1' status: public title: Integral points on singular del Pezzo surfaces type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2022' ... --- _id: '12072' abstract: - lang: eng text: "In this thesis, we study two of the most important questions in Arithmetic geometry: that of the existence and density of solutions to Diophantine equations. In order for a Diophantine equation to have any solutions over the rational numbers, it must have solutions everywhere locally, i.e., over R and over Qp for every prime p. The converse, called the Hasse principle, is known to fail in general. However, it is still a central question in Arithmetic geometry to determine for which varieties the Hasse principle does hold. In this work, we establish the Hasse principle for a wide new family of varieties of the form f(t) = NK/Q(x) ̸= 0, where f is a polynomial with integer coefficients and NK/Q denotes the norm\r\nform associated to a number field K. Our results cover products of arbitrarily many linear, quadratic or cubic factors, and generalise an argument of Irving [69], which makes use of the beta sieve of Rosser and Iwaniec. We also demonstrate how our main sieve results can be applied to treat new cases of a conjecture of Harpaz and Wittenberg on locally split values of polynomials over number fields, and discuss consequences for rational points in fibrations.\r\nIn the second question, about the density of solutions, one defines a height function and seeks to estimate asymptotically the number of points of height bounded by B as B → ∞. Traditionally, one either counts rational points, or\r\nintegral points with respect to a suitable model. However, in this thesis, we study an emerging area of interest in Arithmetic geometry known as Campana points, which in some sense interpolate between rational and integral points.\r\nMore precisely, we count the number of nonzero integers z1, z2, z3 such that gcd(z1, z2, z3) = 1, and z1, z2, z3, z1 + z2 + z3 are all squareful and bounded by B. Using the circle method, we obtain an asymptotic formula which agrees in\r\nthe power of B and log B with a bold new generalisation of Manin’s conjecture to the setting of Campana points, recently formulated by Pieropan, Smeets, Tanimoto and Várilly-Alvarado [96]. However, in this thesis we also provide the first known counterexamples to leading constant predicted by their conjecture. " acknowledgement: I acknowledge the received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska Curie Grant Agreement No. 665385. alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Alec L full_name: Shute, Alec L id: 440EB050-F248-11E8-B48F-1D18A9856A87 last_name: Shute orcid: 0000-0002-1812-2810 citation: ama: 'Shute AL. Existence and density problems in Diophantine geometry: From norm forms to Campana points. 2022. doi:10.15479/at:ista:12072' apa: 'Shute, A. L. (2022). Existence and density problems in Diophantine geometry: From norm forms to Campana points. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12072' chicago: 'Shute, Alec L. “Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:12072.' ieee: 'A. L. Shute, “Existence and density problems in Diophantine geometry: From norm forms to Campana points,” Institute of Science and Technology Austria, 2022.' ista: 'Shute AL. 2022. Existence and density problems in Diophantine geometry: From norm forms to Campana points. Institute of Science and Technology Austria.' mla: 'Shute, Alec L. Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:12072.' short: 'A.L. Shute, Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.' date_created: 2022-09-08T21:53:03Z date_published: 2022-09-08T00:00:00Z date_updated: 2023-02-21T16:37:35Z day: '08' ddc: - '512' degree_awarded: PhD department: - _id: GradSch - _id: TiBr doi: 10.15479/at:ista:12072 ec_funded: 1 file: - access_level: open_access checksum: bf073344320e05d92c224786cec2e92d content_type: application/pdf creator: ashute date_created: 2022-09-08T21:50:34Z date_updated: 2022-09-08T21:50:34Z file_id: '12073' file_name: Thesis_final_draft.pdf file_size: 1907386 relation: main_file success: 1 - access_level: closed checksum: b054ac6baa09f70e8235403a4abbed80 content_type: application/octet-stream creator: ashute date_created: 2022-09-08T21:50:42Z date_updated: 2022-09-12T11:24:21Z file_id: '12074' file_name: athesis.tex file_size: 495393 relation: source_file - access_level: closed checksum: 0a31e905f1cff5eb8110978cc90e1e79 content_type: application/x-zip-compressed creator: ashute date_created: 2022-09-09T12:05:00Z date_updated: 2022-09-12T11:24:21Z file_id: '12078' file_name: qfcjsfmtvtbfrjjvhdzrnqxfvgjvxtbf.zip file_size: 944534 relation: source_file file_date_updated: 2022-09-12T11:24:21Z has_accepted_license: '1' language: - iso: eng license: https://creativecommons.org/licenses/by-nc-sa/4.0/ month: '09' oa: 1 oa_version: Published Version page: '208' project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication_identifier: isbn: - 978-3-99078-023-7 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '12076' relation: part_of_dissertation status: public - id: '12077' relation: part_of_dissertation status: public status: public supervisor: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 title: 'Existence and density problems in Diophantine geometry: From norm forms to Campana points' tmp: image: /images/cc_by_nc_sa.png legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) short: CC BY-NC-SA (4.0) type: dissertation user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2022' ... --- _id: '12684' abstract: - lang: eng text: Given a place ω of a global function field K over a finite field, with associated affine function ring Rω and completion Kω , the aim of this paper is to give an effective joint equidistribution result for renormalized primitive lattice points (a,b)∈Rω2 in the plane Kω2 , and for renormalized solutions to the gcd equation ax+by=1 . The main tools are techniques of Goronik and Nevo for counting lattice points in well-rounded families of subsets. This gives a sharper analog in positive characteristic of a result of Nevo and the first author for the equidistribution of the primitive lattice points in \ZZ2 . acknowledgement: "The authors warmly thank Amos Nevo for having presented the authors to each other during\r\na beautiful conference in Goa in February 2016, where the idea of this paper was born. The\r\nfirst author thanks the IHES for two post-doctoral years when most of this paper was discussed,\r\nand the Topology team in Orsay for financial support at the final stage. The first author was\r\nsupported by the EPRSC EP/P026710/1 grant. Finally, we warmly thank the referee for many\r\nvery helpful comments that have improved the readability of this paper." article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Tal full_name: Horesh, Tal id: C8B7BF48-8D81-11E9-BCA9-F536E6697425 last_name: Horesh - first_name: Frédéric full_name: Paulin, Frédéric last_name: Paulin citation: ama: Horesh T, Paulin F. Effective equidistribution of lattice points in positive characteristic. Journal de Theorie des Nombres de Bordeaux. 2022;34(3):679-703. doi:10.5802/JTNB.1222 apa: Horesh, T., & Paulin, F. (2022). Effective equidistribution of lattice points in positive characteristic. Journal de Theorie Des Nombres de Bordeaux. Centre Mersenne. https://doi.org/10.5802/JTNB.1222 chicago: Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice Points in Positive Characteristic.” Journal de Theorie Des Nombres de Bordeaux. Centre Mersenne, 2022. https://doi.org/10.5802/JTNB.1222. ieee: T. Horesh and F. Paulin, “Effective equidistribution of lattice points in positive characteristic,” Journal de Theorie des Nombres de Bordeaux, vol. 34, no. 3. Centre Mersenne, pp. 679–703, 2022. ista: Horesh T, Paulin F. 2022. Effective equidistribution of lattice points in positive characteristic. Journal de Theorie des Nombres de Bordeaux. 34(3), 679–703. mla: Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice Points in Positive Characteristic.” Journal de Theorie Des Nombres de Bordeaux, vol. 34, no. 3, Centre Mersenne, 2022, pp. 679–703, doi:10.5802/JTNB.1222. short: T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022) 679–703. date_created: 2023-02-26T23:01:02Z date_published: 2022-01-27T00:00:00Z date_updated: 2023-08-04T10:41:40Z day: '27' ddc: - '510' department: - _id: TiBr doi: 10.5802/JTNB.1222 external_id: arxiv: - '2001.01534' isi: - '000926504300003' file: - access_level: open_access checksum: 08f28fded270251f568f610cf5166d69 content_type: application/pdf creator: dernst date_created: 2023-02-27T09:10:13Z date_updated: 2023-02-27T09:10:13Z file_id: '12689' file_name: 2023_JourTheorieNombreBordeaux_Horesh.pdf file_size: 870468 relation: main_file success: 1 file_date_updated: 2023-02-27T09:10:13Z has_accepted_license: '1' intvolume: ' 34' isi: 1 issue: '3' language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: 679-703 publication: Journal de Theorie des Nombres de Bordeaux publication_identifier: eissn: - 2118-8572 issn: - 1246-7405 publication_status: published publisher: Centre Mersenne quality_controlled: '1' scopus_import: '1' status: public title: Effective equidistribution of lattice points in positive characteristic tmp: image: /image/cc_by_nd.png legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0) short: CC BY-ND (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 34 year: '2022' ... --- _id: '12776' abstract: - lang: eng text: An improved asymptotic formula is established for the number of rational points of bounded height on the split smooth del Pezzo surface of degree 5. The proof uses the five conic bundle structures on the surface. acknowledgement: This work was begun while the author was participating in the programme on "Diophantine equations" at the Hausdorff Research Institute for Mathematics in Bonn in 2009. The hospitality and financial support of the institute is gratefully acknowledged. The idea of using conic bundles to study the split del Pezzo surface of degree 5 was explained to the author by Professor Salberger. The author is very grateful to him for his input into this project and also to Shuntaro Yamagishi for many useful comments on an earlier version of this manuscript. While working on this paper the author was supported by FWF grant P32428-N35. article_processing_charge: No article_type: original author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 citation: ama: Browning TD. Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5. New York Journal of Mathematics. 2022;28:1193-1229. apa: Browning, T. D. (2022). Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5. New York Journal of Mathematics. State University of New York. chicago: Browning, Timothy D. “Revisiting the Manin–Peyre Conjecture for the Split Del Pezzo Surface of Degree 5.” New York Journal of Mathematics. State University of New York, 2022. ieee: T. D. Browning, “Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5,” New York Journal of Mathematics, vol. 28. State University of New York, pp. 1193–1229, 2022. ista: Browning TD. 2022. Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5. New York Journal of Mathematics. 28, 1193–1229. mla: Browning, Timothy D. “Revisiting the Manin–Peyre Conjecture for the Split Del Pezzo Surface of Degree 5.” New York Journal of Mathematics, vol. 28, State University of New York, 2022, pp. 1193–229. short: T.D. Browning, New York Journal of Mathematics 28 (2022) 1193–1229. date_created: 2023-03-28T09:21:09Z date_published: 2022-08-24T00:00:00Z date_updated: 2023-10-18T07:59:13Z day: '24' ddc: - '510' department: - _id: TiBr file: - access_level: open_access checksum: c01e8291794a1bdb7416aa103cb68ef8 content_type: application/pdf creator: dernst date_created: 2023-03-30T07:09:35Z date_updated: 2023-03-30T07:09:35Z file_id: '12778' file_name: 2022_NYJM_Browning.pdf file_size: 897267 relation: main_file success: 1 file_date_updated: 2023-03-30T07:09:35Z has_accepted_license: '1' intvolume: ' 28' language: - iso: eng month: '08' oa: 1 oa_version: Published Version page: 1193 - 1229 project: - _id: 26AEDAB2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P32428 name: New frontiers of the Manin conjecture publication: New York Journal of Mathematics publication_identifier: issn: - 1076-9803 publication_status: published publisher: State University of New York quality_controlled: '1' status: public title: Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5 tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 28 year: '2022' ...