{"title":"Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t)","doi":"10.1112/jlms.12991","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"Journal of the London Mathematical Society","citation":{"ama":"Glas J. Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). <i>Journal of the London Mathematical Society</i>. 2024;110(4). doi:<a href=\"https://doi.org/10.1112/jlms.12991\">10.1112/jlms.12991</a>","ieee":"J. Glas, “Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t),” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 4. London Mathematical Society, 2024.","short":"J. Glas, Journal of the London Mathematical Society 110 (2024).","mla":"Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric Hypersurfaces over Fq(T).” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 4, e12991, London Mathematical Society, 2024, doi:<a href=\"https://doi.org/10.1112/jlms.12991\">10.1112/jlms.12991</a>.","chicago":"Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric Hypersurfaces over Fq(T).” <i>Journal of the London Mathematical Society</i>. London Mathematical Society, 2024. <a href=\"https://doi.org/10.1112/jlms.12991\">https://doi.org/10.1112/jlms.12991</a>.","apa":"Glas, J. (2024). Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). <i>Journal of the London Mathematical Society</i>. London Mathematical Society. <a href=\"https://doi.org/10.1112/jlms.12991\">https://doi.org/10.1112/jlms.12991</a>","ista":"Glas J. 2024. Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). Journal of the London Mathematical Society. 110(4), e12991."},"related_material":{"record":[{"id":"18132","status":"public","relation":"dissertation_contains"}]},"day":"01","publisher":"London Mathematical Society","type":"journal_article","has_accepted_license":"1","_id":"18173","article_processing_charge":"Yes (via OA deal)","author":[{"last_name":"Glas","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","full_name":"Glas, Jakob","first_name":"Jakob"}],"acknowledgement":"The author would like to thank his supervisor Tim Browning for suggesting this project and many helpful conversations and Pankaj Vishe for useful comments. Moreover, he is grateful to Dante Bonolis and Julian Lyczak for sharing their expertise in exponential sums and geometry. While working on this paper, the author was supported by FWF grant (DOI 10.55776/P36278).","license":"https://creativecommons.org/licenses/by/4.0/","department":[{"_id":"TiBr"}],"article_number":"e12991","external_id":{"arxiv":["2306.02718"]},"status":"public","date_created":"2024-10-06T22:01:11Z","year":"2024","file":[{"creator":"dernst","file_size":579601,"file_name":"2024_JLondonMathSoc_Glas.pdf","relation":"main_file","content_type":"application/pdf","access_level":"open_access","date_updated":"2024-10-07T08:51:01Z","file_id":"18181","date_created":"2024-10-07T08:51:01Z","success":1,"checksum":"11ebf690363151026ce81f91f2220855"}],"volume":110,"publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"article_type":"original","oa":1,"language":[{"iso":"eng"}],"date_updated":"2024-10-11T09:44:22Z","month":"10","quality_controlled":"1","oa_version":"Published Version","ddc":["510"],"date_published":"2024-10-01T00:00:00Z","intvolume":"       110","issue":"4","corr_author":"1","project":[{"name":"Rational curves via function field analytic number theory","_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3","grant_number":"P36278"}],"file_date_updated":"2024-10-07T08:51:01Z","abstract":[{"lang":"eng","text":"Using a two-dimensional version of the delta method, we establish an asymptotic formula for the number of rational points of bounded height on non-singular complete intersections of cubic and quadric hypersurfaces of dimension at least 23 over Fq(t), provided char (Fq)>3. Under the same hypotheses, we also verify weak approximation."}],"publication_status":"published","scopus_import":"1"}