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