On the integral Tate conjecture for finite fields and representation theory

被引：8

作者：

Antieau, Benjamin ^{[1
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, 851 S Morgan St, Chicago, IL 60607 USA

来源：

ALGEBRAIC GEOMETRY | 2016年 / 3卷 / 02期

基金：

美国国家科学基金会;

关键词：

Tate conjecture; cycle class maps; classifying spaces of algebraic groups; Chowrings; CHOW RING; COHOMOLOGY;

D O I：

10.14231/AG-2016-007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a new source of counterexamples to the so-called integral Hodge and integral Tate conjectures. As in the other known counterexamples to the integral Tate conjecture over finite fields, ours are approximations of the classifying space of some group BG. Unlike the other examples, we find groups of type A(n), our proof relies heavily on representation theory, and Milnor's operations vanish on the classes we construct.

引用

页码：138 / 149

页数：12

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