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Browning, J. Lyczak, R. Sarapin, Involve 16 (2023) 331–342.","ieee":"T. D. Browning, J. Lyczak, and R. Sarapin, “Local solubility for a family of quadrics over a split quadric surface,” <i>Involve</i>, vol. 16, no. 2. Mathematical Sciences Publishers, pp. 331–342, 2023.","ama":"Browning TD, Lyczak J, Sarapin R. Local solubility for a family of quadrics over a split quadric surface. <i>Involve</i>. 2023;16(2):331-342. doi:<a href=\"https://doi.org/10.2140/involve.2023.16.331\">10.2140/involve.2023.16.331</a>","mla":"Browning, Timothy D., et al. “Local Solubility for a Family of Quadrics over a Split Quadric Surface.” <i>Involve</i>, vol. 16, no. 2, Mathematical Sciences Publishers, 2023, pp. 331–42, doi:<a href=\"https://doi.org/10.2140/involve.2023.16.331\">10.2140/involve.2023.16.331</a>.","apa":"Browning, T. D., Lyczak, J., &#38; Sarapin, R. (2023). Local solubility for a family of quadrics over a split quadric surface. <i>Involve</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/involve.2023.16.331\">https://doi.org/10.2140/involve.2023.16.331</a>","ista":"Browning TD, Lyczak J, Sarapin R. 2023. Local solubility for a family of quadrics over a split quadric surface. Involve. 16(2), 331–342.","chicago":"Browning, Timothy D, Julian Lyczak, and Roman Sarapin. “Local Solubility for a Family of Quadrics over a Split Quadric Surface.” <i>Involve</i>. Mathematical Sciences Publishers, 2023. <a href=\"https://doi.org/10.2140/involve.2023.16.331\">https://doi.org/10.2140/involve.2023.16.331</a>."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"language":[{"iso":"eng"}]},{"department":[{"_id":"TiBr"}],"file":[{"relation":"main_file","checksum":"daf53fc614c894422e4c0fb3d2a2ae3e","success":1,"file_name":"2023_AnnalesFourier_Lyczak.pdf","access_level":"open_access","content_type":"application/pdf","file_id":"13977","date_created":"2023-08-07T07:19:42Z","file_size":1529821,"creator":"dernst","date_updated":"2023-08-07T07:19:42Z"}],"month":"05","arxiv":1,"issue":"2","citation":{"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.","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. <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>","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>","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>.","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>.","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."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"language":[{"iso":"eng"}],"volume":73,"article_type":"original","date_created":"2023-08-06T22:01:12Z","author":[{"last_name":"Lyczak","full_name":"Lyczak, Julian","id":"3572849A-F248-11E8-B48F-1D18A9856A87","first_name":"Julian"}],"day":"12","scopus_import":"1","oa_version":"Published Version","title":"Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces","publication_status":"published","publication_identifier":{"issn":["0373-0956"]},"file_date_updated":"2023-08-07T07:19:42Z","has_accepted_license":"1","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)"},"license":"https://creativecommons.org/licenses/by-nd/4.0/","intvolume":"        73","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."}],"year":"2023","isi":1,"external_id":{"isi":["001000279500001"],"arxiv":["2005.14013"]},"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.","date_published":"2023-05-12T00:00:00Z","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"publication":"Annales de l'Institut Fourier","status":"public","date_updated":"2023-12-13T12:03:04Z","_id":"13973","type":"journal_article","doi":"10.5802/aif.3529","article_processing_charge":"Yes (in subscription journal)","publisher":"Association des Annales de l'Institut Fourier","quality_controlled":"1","page":"447-478","ddc":["510"]}]