On the Hasse principle for complete intersections

IF 1.3 1区数学 Q1 MATHEMATICS

Compositio Mathematica Pub Date : 2024-03-05 DOI:10.1112/s0010437x23007698

Matthew Northey, Pankaj Vishe

引用次数: 0

Abstract

We prove the Hasse principle for a smooth projective variety Abstract Image $X\subset \mathbb {P}^{n-1}_\mathbb {Q}$ defined by a system of two cubic forms $F,G$ as long as $n\geq 39$. The main tool here is the development of a version of Kloosterman refinement for a smooth system of equations defined over $\mathbb {Q}$.

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关于完全交叉点的哈塞原理

只要有 $n\geq 39$，我们就能证明由两个立方形式 $F,G$ 的系统定义的光滑投影变项 $X\subset \mathbb {P}^{n-1}_\mathbb {Q}$ 的哈塞原理。这里的主要工具是为定义在 $\mathbb {Q}$ 上的平滑方程组开发一个版本的克罗斯特曼细化。

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

Compositio Mathematica 数学-数学

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Compositio Mathematica is a prestigious, well-established journal publishing first-class research papers that traditionally focus on the mainstream of pure mathematics. Compositio Mathematica has a broad scope which includes the fields of algebra, number theory, topology, algebraic and differential geometry and global analysis. Papers on other topics are welcome if they are of broad interest. All contributions are required to meet high standards of quality and originality. The Journal has an international editorial board reflected in the journal content.