Quadratic points on intersections of two quadrics

IF 0.9 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2023-08-29 DOI:10.2140/ant.2023.17.1411

Brendan Creutz, Bianca Viray

引用次数: 6

Abstract

We prove that a smooth complete intersection of two quadrics of dimension at least $2$ over a number field has index dividing $2$ , i.e., that it possesses a rational $0$ -cycle of degree $2$ .

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两个二次曲面交点上的二次点

我们证明了两个维数至少为2的二次曲面在一个数域上的光滑完全交集具有除2的指数，即它具有2次有理0循环。

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

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.