A remark on the Tate Conjecture

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2017-09-13 DOI:10.1090/JAG/720

B. Moonen

引用次数: 18

Abstract

The strong version of the Tate conjecture has two parts: an assertion (S) about semisimplicity of Galois representations and an assertion (T) which says that every Tate class is algebraic. We show that in characteristic 0 0 , (T) implies (S). In characteristic p p an analogous result is true under stronger assumptions.

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关于泰特猜想的评论

塔特猜想的强版本有两部分:一个关于伽罗瓦表示的半简单性的断言(S)和一个断言(T)，它说每个塔特类都是代数的。我们证明在特征0 0中，(T)蕴涵着(S)。在特征p p中，在更强的假设下，类似的结果是成立的。

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

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.