Rational points on complete intersections over 𝔽𝒒(𝒕)

Vishe, Pankaj

doi:10.1112/plms.12496

Rational points on complete intersections over 𝔽𝒒(𝒕)

Vishe, Pankaj

Authors

Dr Pankaj Vishe pankaj.vishe@durham.ac.uk
Associate Professor

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 ⊂ P n−1 K , under the assumption that q is odd and n ≥ 9.

Citation

Vishe, P. (2023). Rational points on complete intersections over 𝔽𝒒(𝒕). 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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