{"article_type":"original","quality_controlled":"1","external_id":{"isi":["001000279500001"],"arxiv":["2005.14013"]},"date_published":"2023-05-12T00:00:00Z","ec_funded":1,"citation":{"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.","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","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.","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.","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."},"doi":"10.5802/aif.3529","article_processing_charge":"Yes (in subscription journal)","intvolume":" 73","title":"Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces","oa":1,"ddc":["510"],"tmp":{"short":"CC BY-ND (4.0)","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"},"day":"12","publisher":"Association des Annales de l'Institut Fourier","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file_date_updated":"2023-08-07T07:19:42Z","type":"journal_article","license":"https://creativecommons.org/licenses/by-nd/4.0/","abstract":[{"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.","lang":"eng"}],"isi":1,"has_accepted_license":"1","scopus_import":"1","oa_version":"Published Version","publication_status":"published","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"file":[{"relation":"main_file","file_name":"2023_AnnalesFourier_Lyczak.pdf","file_size":1529821,"access_level":"open_access","creator":"dernst","date_created":"2023-08-07T07:19:42Z","date_updated":"2023-08-07T07:19:42Z","success":1,"file_id":"13977","checksum":"daf53fc614c894422e4c0fb3d2a2ae3e","content_type":"application/pdf"}],"month":"05","date_created":"2023-08-06T22:01:12Z","date_updated":"2023-12-13T12:03:04Z","year":"2023","publication_identifier":{"issn":["0373-0956"]},"volume":73,"issue":"2","language":[{"iso":"eng"}],"page":"447-478","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.","publication":"Annales de l'Institut Fourier","author":[{"id":"3572849A-F248-11E8-B48F-1D18A9856A87","last_name":"Lyczak","full_name":"Lyczak, Julian","first_name":"Julian"}],"department":[{"_id":"TiBr"}],"status":"public","_id":"13973"}