Rational points on complete intersections over 𝔽𝒒(𝒕)

Vishe, Pankaj

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
• Public URL: https://durham-repository.worktribe.com/output/1196201