[{"article_processing_charge":"No","publisher":"Mathematical Sciences Publishers","abstract":[{"text":"We study the density of everywhere locally soluble diagonal quadric surfaces, parameterised by rational points that lie on a split quadric surface","lang":"eng"}],"corr_author":"1","doi":"10.2140/involve.2023.16.331","oa_version":"Preprint","date_published":"2023-05-26T00:00:00Z","year":"2023","status":"public","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/2203.06881","open_access":"1"}],"intvolume":"        16","citation":{"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>","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.","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>.","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>","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>.","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.","short":"T.D. Browning, J. Lyczak, R. Sarapin, Involve 16 (2023) 331–342."},"author":[{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","last_name":"Browning","full_name":"Browning, Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Julian","full_name":"Lyczak, Julian","last_name":"Lyczak","id":"3572849A-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Roman","full_name":"Sarapin, Roman","last_name":"Sarapin"}],"scopus_import":"1","month":"05","_id":"13180","title":"Local solubility for a family of quadrics over a split quadric surface","publication":"Involve","oa":1,"page":"331-342","volume":16,"quality_controlled":"1","publication_identifier":{"issn":["1944-4176"],"eissn":["1944-4184"]},"external_id":{"arxiv":["2203.06881"]},"date_created":"2023-07-02T22:00:43Z","day":"26","issue":"2","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_type":"original","department":[{"_id":"TiBr"}],"type":"journal_article","arxiv":1,"date_updated":"2024-10-09T21:05:51Z"},{"publisher":"Association des Annales de l'Institut Fourier","article_processing_charge":"Yes (in subscription journal)","oa_version":"Published Version","ddc":["510"],"doi":"10.5802/aif.3529","corr_author":"1","file":[{"success":1,"content_type":"application/pdf","checksum":"daf53fc614c894422e4c0fb3d2a2ae3e","access_level":"open_access","relation":"main_file","date_created":"2023-08-07T07:19:42Z","file_name":"2023_AnnalesFourier_Lyczak.pdf","date_updated":"2023-08-07T07:19:42Z","file_size":1529821,"file_id":"13977","creator":"dernst"}],"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."}],"date_published":"2023-05-12T00:00:00Z","year":"2023","author":[{"last_name":"Lyczak","full_name":"Lyczak, Julian","id":"3572849A-F248-11E8-B48F-1D18A9856A87","first_name":"Julian"}],"citation":{"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>.","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.","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>","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>.","short":"J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478.","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."},"intvolume":"        73","ec_funded":1,"language":[{"iso":"eng"}],"status":"public","has_accepted_license":"1","title":"Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces","file_date_updated":"2023-08-07T07:19:42Z","publication":"Annales de l'Institut Fourier","_id":"13973","scopus_import":"1","month":"05","external_id":{"isi":["001000279500001"],"arxiv":["2005.14013"]},"publication_identifier":{"issn":["0373-0956"]},"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.","quality_controlled":"1","volume":73,"page":"447-478","oa":1,"department":[{"_id":"TiBr"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_type":"original","issue":"2","publication_status":"published","day":"12","date_created":"2023-08-06T22:01:12Z","project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"}],"date_updated":"2025-04-14T07:43:56Z","arxiv":1,"isi":1,"type":"journal_article","tmp":{"short":"CC BY-ND (4.0)","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"},"license":"https://creativecommons.org/licenses/by-nd/4.0/"}]