[{"oa_version":"Preprint","doi":"10.2140/involve.2023.16.331","corr_author":"1","abstract":[{"lang":"eng","text":"We study the density of everywhere locally soluble diagonal quadric surfaces, parameterised by rational points that lie on a split quadric surface"}],"publisher":"Mathematical Sciences Publishers","article_processing_charge":"No","citation":{"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>","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>","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":[{"first_name":"Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Browning, Timothy D","last_name":"Browning"},{"first_name":"Julian","id":"3572849A-F248-11E8-B48F-1D18A9856A87","last_name":"Lyczak","full_name":"Lyczak, Julian"},{"last_name":"Sarapin","full_name":"Sarapin, Roman","first_name":"Roman"}],"main_file_link":[{"url":"https://arxiv.org/abs/2203.06881","open_access":"1"}],"intvolume":"        16","status":"public","language":[{"iso":"eng"}],"date_published":"2023-05-26T00:00:00Z","year":"2023","publication_identifier":{"issn":["1944-4176"],"eissn":["1944-4184"]},"external_id":{"arxiv":["2203.06881"]},"quality_controlled":"1","volume":16,"page":"331-342","oa":1,"_id":"13180","title":"Local solubility for a family of quadrics over a split quadric surface","publication":"Involve","scopus_import":"1","month":"05","date_updated":"2024-10-09T21:05:51Z","arxiv":1,"type":"journal_article","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"TiBr"}],"publication_status":"published","issue":"2","date_created":"2023-07-02T22:00:43Z","day":"26"},{"publisher":"Association des Annales de l'Institut Fourier","article_processing_charge":"Yes (in subscription journal)","doi":"10.5802/aif.3529","corr_author":"1","ddc":["510"],"oa_version":"Published Version","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"}],"file":[{"file_name":"2023_AnnalesFourier_Lyczak.pdf","date_created":"2023-08-07T07:19:42Z","access_level":"open_access","relation":"main_file","success":1,"content_type":"application/pdf","checksum":"daf53fc614c894422e4c0fb3d2a2ae3e","file_id":"13977","creator":"dernst","date_updated":"2023-08-07T07:19:42Z","file_size":1529821}],"year":"2023","date_published":"2023-05-12T00:00:00Z","intvolume":"        73","citation":{"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.","short":"J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478.","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>.","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>","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.","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>"},"author":[{"first_name":"Julian","id":"3572849A-F248-11E8-B48F-1D18A9856A87","full_name":"Lyczak, Julian","last_name":"Lyczak"}],"status":"public","has_accepted_license":"1","ec_funded":1,"language":[{"iso":"eng"}],"_id":"13973","file_date_updated":"2023-08-07T07:19:42Z","title":"Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces","publication":"Annales de l'Institut Fourier","month":"05","scopus_import":"1","quality_controlled":"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.","publication_identifier":{"issn":["0373-0956"]},"external_id":{"isi":["001000279500001"],"arxiv":["2005.14013"]},"page":"447-478","oa":1,"volume":73,"issue":"2","publication_status":"published","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"TiBr"}],"date_created":"2023-08-06T22:01:12Z","day":"12","date_updated":"2025-04-14T07:43:56Z","project":[{"call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"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"},"arxiv":1,"isi":1,"type":"journal_article"}]