Fq（t）${\mathbb｛F｝}_q（t$

IF 1.5 1区数学 Q1 MATHEMATICS

Proceedings of the London Mathematical Society Pub Date : 2022-10-27 DOI:10.1112/plms.12496

P. Vishe

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引用次数: 0

摘要

函数域K=Fq（t）$K=\mathbb的Farey剖分的二维版本{F}_q（t） $被发展并用于建立两个二次曲面X⊂PKn−1$X\subet\mathbb｛P｝的光滑完全交上有理点集的定量算术^{n-1}_{K} $，假设q$q$是奇数并且n⩾9$n\geqslant 9$。

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Rational points on complete intersections over Fq(t)${\mathbb {F}}_q(t)$

A 2‐dimensional version of Farey dissection for function fields K=Fq(t)$K=\mathbb {F}_q(t)$ is developed and used to establish the quantitative arithmetic of the set of rational points on a smooth complete intersection of two quadrics X⊂PKn−1$X\subset \mathbb {P}^{n-1}_{K}$ , under the assumption that q$q$ is odd and n⩾9$n\geqslant 9$ .

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来源期刊

Proceedings of the London Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Proceedings of the London Mathematical Society is the flagship journal of the LMS. It publishes articles of the highest quality and significance across a broad range of mathematics. There are no page length restrictions for submitted papers. The Proceedings has its own Editorial Board separate from that of the Journal, Bulletin and Transactions of the LMS.