[{"publication":"Annales de l'Institut Fourier","department":[{"_id":"TiBr"}],"quality_controlled":"1","intvolume":"        73","status":"public","publisher":"Association des Annales de l'Institut Fourier","isi":1,"month":"05","date_created":"2023-08-06T22:01:12Z","page":"447-478","language":[{"iso":"eng"}],"doi":"10.5802/aif.3529","ddc":["510"],"project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"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.","day":"12","author":[{"id":"3572849A-F248-11E8-B48F-1D18A9856A87","full_name":"Lyczak, Julian","first_name":"Julian","last_name":"Lyczak"}],"type":"journal_article","citation":{"short":"J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478.","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.","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.","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>.","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>."},"ec_funded":1,"title":"Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces","file_date_updated":"2023-08-07T07:19:42Z","tmp":{"name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","image":"/image/cc_by_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","short":"CC BY-ND (4.0)"},"volume":73,"license":"https://creativecommons.org/licenses/by-nd/4.0/","publication_status":"published","oa":1,"file":[{"creator":"dernst","file_size":1529821,"file_name":"2023_AnnalesFourier_Lyczak.pdf","checksum":"daf53fc614c894422e4c0fb3d2a2ae3e","access_level":"open_access","date_updated":"2023-08-07T07:19:42Z","relation":"main_file","file_id":"13977","content_type":"application/pdf","date_created":"2023-08-07T07:19:42Z","success":1}],"date_published":"2023-05-12T00:00:00Z","_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."}],"arxiv":1,"article_processing_charge":"Yes (in subscription journal)","issue":"2","scopus_import":"1","external_id":{"arxiv":["2005.14013"],"isi":["001000279500001"]},"date_updated":"2023-12-13T12:03:04Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"issn":["0373-0956"]},"article_type":"original","oa_version":"Published Version","year":"2023","has_accepted_license":"1"},{"scopus_import":"1","date_updated":"2023-07-18T08:38:34Z","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication_identifier":{"issn":["0373-0956"]},"article_type":"original","publist_id":"4152","oa_version":"None","year":"2002","publication_status":"published","volume":52,"article_processing_charge":"No","issue":"6","_id":"2740","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"}],"date_published":"2002-01-01T00:00:00Z","language":[{"iso":"eng"}],"doi":"10.5802/aif.1936","citation":{"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>.","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.","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>","short":"L. Erdös, Annales de l’Institut Fourier 52 (2002) 1833–1874."},"title":"Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions","day":"01","type":"journal_article","author":[{"last_name":"Erdös","full_name":"Erdös, László","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603"}],"publisher":"Association des Annales de l'Institut Fourier","publication":"Annales de l'Institut Fourier","quality_controlled":"1","intvolume":"        52","status":"public","page":"1833-1874","month":"01","extern":"1","date_created":"2018-12-11T11:59:21Z"},{"article_type":"original","publist_id":"4159","oa_version":"None","year":"2000","scopus_import":"1","date_updated":"2023-05-03T08:56:17Z","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication_identifier":{"issn":["0373-0956"]},"_id":"2733","date_published":"2000-01-01T00:00:00Z","abstract":[{"lang":"eng","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."}],"article_processing_charge":"No","issue":"3","volume":50,"publication_status":"published","day":"01","author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","last_name":"Erdös"},{"full_name":"Loss, Michael","first_name":"Michael","last_name":"Loss"},{"first_name":"Vitali","full_name":"Vougalter, Vitali","last_name":"Vougalter"}],"type":"journal_article","citation":{"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>.","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.","ista":"Erdös L, Loss M, Vougalter V. 2000. Diamagnetic behavior of sums Dirichlet eigenvalues. Annales de l’Institut Fourier. 50(3), 891–907.","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>.","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>","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>","short":"L. Erdös, M. Loss, V. Vougalter, Annales de l’Institut Fourier 50 (2000) 891–907."},"title":"Diamagnetic behavior of sums Dirichlet eigenvalues","language":[{"iso":"eng"}],"doi":"10.5802/aif.1777","month":"01","extern":"1","date_created":"2018-12-11T11:59:19Z","page":"891 - 907","publication":"Annales de l'Institut Fourier","quality_controlled":"1","status":"public","intvolume":"        50","publisher":"Association des Annales de l'Institut Fourier"}]