[{"has_accepted_license":"1","publication":"Annales de l'Institut Fourier","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"oa_version":"Published Version","month":"05","language":[{"iso":"eng"}],"tmp":{"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)","image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)"},"type":"journal_article","date_published":"2023-05-12T00:00:00Z","publication_identifier":{"issn":["0373-0956"]},"oa":1,"file":[{"content_type":"application/pdf","file_name":"2023_AnnalesFourier_Lyczak.pdf","date_updated":"2023-08-07T07:19:42Z","checksum":"daf53fc614c894422e4c0fb3d2a2ae3e","file_size":1529821,"date_created":"2023-08-07T07:19:42Z","creator":"dernst","file_id":"13977","success":1,"access_level":"open_access","relation":"main_file"}],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","license":"https://creativecommons.org/licenses/by-nd/4.0/","scopus_import":"1","_id":"13973","issue":"2","author":[{"first_name":"Julian","last_name":"Lyczak","full_name":"Lyczak, Julian","id":"3572849A-F248-11E8-B48F-1D18A9856A87"}],"department":[{"_id":"TiBr"}],"article_processing_charge":"Yes (in subscription journal)","date_created":"2023-08-06T22:01:12Z","publication_status":"published","intvolume":"        73","title":"Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces","quality_controlled":"1","ec_funded":1,"page":"447-478","file_date_updated":"2023-08-07T07:19:42Z","publisher":"Association des Annales de l'Institut Fourier","article_type":"original","citation":{"chicago":"Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse Principle on Log K3 Surfaces.” <i>Annales de l’Institut Fourier</i>. Association des Annales de l’Institut Fourier, 2023. <a href=\"https://doi.org/10.5802/aif.3529\">https://doi.org/10.5802/aif.3529</a>.","ieee":"J. Lyczak, “Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces,” <i>Annales de l’Institut Fourier</i>, vol. 73, no. 2. Association des Annales de l’Institut Fourier, pp. 447–478, 2023.","apa":"Lyczak, J. (2023). Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. <i>Annales de l’Institut Fourier</i>. Association des Annales de l’Institut Fourier. <a href=\"https://doi.org/10.5802/aif.3529\">https://doi.org/10.5802/aif.3529</a>","ama":"Lyczak J. Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. <i>Annales de l’Institut Fourier</i>. 2023;73(2):447-478. doi:<a href=\"https://doi.org/10.5802/aif.3529\">10.5802/aif.3529</a>","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.","short":"J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478.","mla":"Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse Principle on Log K3 Surfaces.” <i>Annales de l’Institut Fourier</i>, vol. 73, no. 2, Association des Annales de l’Institut Fourier, 2023, pp. 447–78, doi:<a href=\"https://doi.org/10.5802/aif.3529\">10.5802/aif.3529</a>."},"year":"2023","date_updated":"2023-12-13T12:03:04Z","external_id":{"arxiv":["2005.14013"],"isi":["001000279500001"]},"isi":1,"day":"12","doi":"10.5802/aif.3529","arxiv":1,"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.","volume":73,"ddc":["510"]},{"page":"1833-1874","quality_controlled":"1","article_type":"original","publisher":"Association des Annales de l'Institut Fourier","author":[{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"}],"issue":"6","_id":"2740","scopus_import":"1","title":"Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions","intvolume":"        52","publication_status":"published","article_processing_charge":"No","date_created":"2018-12-11T11:59:21Z","extern":"1","volume":52,"date_updated":"2023-07-18T08:38:34Z","citation":{"ista":"Erdös L. 2002. Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions. Annales de l’Institut Fourier. 52(6), 1833–1874.","short":"L. Erdös, Annales de l’Institut Fourier 52 (2002) 1833–1874.","mla":"Erdös, László. “Spectral Shift and Multiplicity of the First Eigenvalue of the Magnetic Schrödinger Operator in Two Dimensions.” <i>Annales de l’Institut Fourier</i>, vol. 52, no. 6, Association des Annales de l’Institut Fourier, 2002, pp. 1833–74, doi:<a href=\"https://doi.org/10.5802/aif.1936\">10.5802/aif.1936</a>.","chicago":"Erdös, László. “Spectral Shift and Multiplicity of the First Eigenvalue of the Magnetic Schrödinger Operator in Two Dimensions.” <i>Annales de l’Institut Fourier</i>. Association des Annales de l’Institut Fourier, 2002. <a href=\"https://doi.org/10.5802/aif.1936\">https://doi.org/10.5802/aif.1936</a>.","ieee":"L. Erdös, “Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions,” <i>Annales de l’Institut Fourier</i>, vol. 52, no. 6. Association des Annales de l’Institut Fourier, pp. 1833–1874, 2002.","ama":"Erdös L. Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions. <i>Annales de l’Institut Fourier</i>. 2002;52(6):1833-1874. doi:<a href=\"https://doi.org/10.5802/aif.1936\">10.5802/aif.1936</a>","apa":"Erdös, L. (2002). Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions. <i>Annales de l’Institut Fourier</i>. Association des Annales de l’Institut Fourier. <a href=\"https://doi.org/10.5802/aif.1936\">https://doi.org/10.5802/aif.1936</a>"},"year":"2002","abstract":[{"text":"We show that the lowest eigenvalue of the magnetic Schrödinger operator on a line bundle over a compact Riemann surface M is bounded by the L1-norm of the magnetic field B. This implies a similar bound on the multiplicity of the ground state. An example shows that this degeneracy can indeed be comparable with ∫M |B| even in case of the trivial bundle.","lang":"eng"}],"doi":"10.5802/aif.1936","day":"01","language":[{"iso":"eng"}],"publication":"Annales de l'Institut Fourier","month":"01","oa_version":"None","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","status":"public","date_published":"2002-01-01T00:00:00Z","type":"journal_article","publist_id":"4152","publication_identifier":{"issn":["0373-0956"]}},{"page":"891 - 907","quality_controlled":"1","article_type":"original","publisher":"Association des Annales de l'Institut Fourier","author":[{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Loss, Michael","last_name":"Loss","first_name":"Michael"},{"full_name":"Vougalter, Vitali","first_name":"Vitali","last_name":"Vougalter"}],"issue":"3","_id":"2733","scopus_import":"1","title":"Diamagnetic behavior of sums Dirichlet eigenvalues","intvolume":"        50","publication_status":"published","date_created":"2018-12-11T11:59:19Z","article_processing_charge":"No","extern":"1","volume":50,"date_updated":"2023-05-03T08:56:17Z","year":"2000","citation":{"ama":"Erdös L, Loss M, Vougalter V. Diamagnetic behavior of sums Dirichlet eigenvalues. <i>Annales de l’Institut Fourier</i>. 2000;50(3):891-907. doi:<a href=\"https://doi.org/10.5802/aif.1777\">10.5802/aif.1777</a>","apa":"Erdös, L., Loss, M., &#38; Vougalter, V. (2000). Diamagnetic behavior of sums Dirichlet eigenvalues. <i>Annales de l’Institut Fourier</i>. Association des Annales de l’Institut Fourier. <a href=\"https://doi.org/10.5802/aif.1777\">https://doi.org/10.5802/aif.1777</a>","ieee":"L. Erdös, M. Loss, and V. Vougalter, “Diamagnetic behavior of sums Dirichlet eigenvalues,” <i>Annales de l’Institut Fourier</i>, vol. 50, no. 3. Association des Annales de l’Institut Fourier, pp. 891–907, 2000.","chicago":"Erdös, László, Michael Loss, and Vitali Vougalter. “Diamagnetic Behavior of Sums Dirichlet Eigenvalues.” <i>Annales de l’Institut Fourier</i>. Association des Annales de l’Institut Fourier, 2000. <a href=\"https://doi.org/10.5802/aif.1777\">https://doi.org/10.5802/aif.1777</a>.","short":"L. Erdös, M. Loss, V. Vougalter, Annales de l’Institut Fourier 50 (2000) 891–907.","mla":"Erdös, László, et al. “Diamagnetic Behavior of Sums Dirichlet Eigenvalues.” <i>Annales de l’Institut Fourier</i>, vol. 50, no. 3, Association des Annales de l’Institut Fourier, 2000, pp. 891–907, doi:<a href=\"https://doi.org/10.5802/aif.1777\">10.5802/aif.1777</a>.","ista":"Erdös L, Loss M, Vougalter V. 2000. Diamagnetic behavior of sums Dirichlet eigenvalues. Annales de l’Institut Fourier. 50(3), 891–907."},"abstract":[{"text":"The Li-Yau semiclassical lower bound for the sum of the first N eigenvalues of the Dirichlet–Laplacian is extended to Dirichlet–Laplacians with constant magnetic fields. Our method involves a new diamagnetic inequality for constant magnetic fields.","lang":"eng"}],"doi":"10.5802/aif.1777","day":"01","language":[{"iso":"eng"}],"publication":"Annales de l'Institut Fourier","month":"01","oa_version":"None","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","status":"public","date_published":"2000-01-01T00:00:00Z","type":"journal_article","publist_id":"4159","publication_identifier":{"issn":["0373-0956"]}}]