Dr Pankaj Vishe pankaj.vishe@durham.ac.uk
Associate Professor
Rational points on complete intersections over π½π(π)
Vishe, Pankaj
Authors
Abstract
A two dimensional version of Farey dissection for function fields K = Fq(t) is developed and used to establish the quantitative arithmetic of the set of rational points on a smooth complete intersection of two quadrics X β P nβ1 K , under the assumption that q is odd and n β₯ 9.
Citation
Vishe, P. (2023). Rational points on complete intersections over π½π(π). Proceedings of the London Mathematical Society, 126(2), 556-619. https://doi.org/10.1112/plms.12496
Journal Article Type | Article |
---|---|
Acceptance Date | Aug 23, 2022 |
Online Publication Date | Oct 27, 2022 |
Publication Date | Feb 3, 2023 |
Deposit Date | Aug 30, 2022 |
Publicly Available Date | Mar 28, 2023 |
Journal | Proceedings of the London Mathematical Society |
Print ISSN | 0024-6115 |
Electronic ISSN | 1460-244X |
Publisher | Wiley |
Peer Reviewed | Peer Reviewed |
Volume | 126 |
Issue | 2 |
Pages | 556-619 |
DOI | https://doi.org/10.1112/plms.12496 |
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Copyright Statement
This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.
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