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