TATE CLASSES ON SELF-PRODUCTS OF ABELIAN VARIETIES OVER FINITE FIELDS

被引：0

作者：

Zarhin, Yuri G. ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

ANNALES DE L INSTITUT FOURIER | 2022年 / 72卷 / 06期

关键词：

Abelian varieties; Tate classes; Finite fields; L-ADIC REPRESENTATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with g-dimensional abelian varieties X over finite fields. We prove that there is a universal constant (positive integer) N = N(g) that depends only on g that enjoys the following property. If a certain self-product of X carries an exotic Tate class then the self-product X-2N of X also carries an exotic Tate class. This gives a positive answer to a question of Kiran Kedlaya

引用

页码：2339 / 2383

页数：45

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