A remark on uniform boundedness for Brauer groups

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2018-01-22 DOI:10.14231/ag-2020-017

A. Cadoret, Franccois Charles

引用次数: 12

Abstract

The Tate conjecture for divisors on varieties over number fields is equivalent to finiteness of $\ell$-primary torsion in the Brauer group. We show that this finiteness is actually uniform in one-dimensional families for varieties that satisfy the Tate conjecture for divisors -- e.g. abelian varieties and $K3$ surfaces.

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关于Brauer群一致有界性的一个注记

数域上变种上除数的Tate猜想等价于Brauer群中$\ell$-初扭的有限性。我们证明了这种有限性在满足除数的泰特猜想的变种的一维族中实际上是一致的，例如阿贝尔变种和$K3$曲面。

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

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.