Rational points on complete intersections of cubic and quadric hypersurfaces over F q ( t ) $\mathbb {F}_q(t)$

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-24 DOI:10.1112/jlms.12991

Jakob Glas

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引用次数: 0

Abstract

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 $F_{q} (t)$ , provided $char (F_{q}) > 3$ . Under the same hypotheses, we also verify weak approximation.

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F q ( t ) $\mathbb {F}_q(t)$ 上三次方和二次方超曲面完全交点上的有理点

利用德尔塔法的二维版本，我们建立了维数至少为 23 over F q ( t ) $\mathbb {F}_q(t)$，条件为 char ( F q ) > 3 $\operatorname{char}(\mathbb {F}_q)>3$的立方超曲面和二次超曲面的非奇异完全交点上有界高的有理点数的渐近公式。在同样的假设下，我们也验证了弱逼近。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.