On the integral Tate conjecture over finite fields-Reference-Cited by-同舟云学术

On the integral Tate conjecture over finite fields

Published:2015-03-13 Issue:3 Volume:158 Page:531-546
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

KAMEKO MASAKI

Abstract

AbstractWe give non-torsion counterexamples to the integral Tate conjecture over finite fields. We extend the result due to Pirutka and Yagita for prime numbers 2, 3, 5 to all prime numbers.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. Modular invariant theory and cohomology algebras of symmetric groups;Mui;J. Fac. Sci. Univ. Tokyo Sect. IA Math.,1975

2. The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups 𝑃𝑈(𝑝) and exceptional Lie groups

3. On the cohomology and the Chow ring of the classifying space of PGLp;Vistoli;J. Reine Angew. Math.,2007

4. The cohomology of quotients of classical groups

5. Group Cohomology and Algebraic Cycles

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Milnor operations and classifying spaces;Proceedings of the American Mathematical Society, Series B;2023-07-18

2. Non-torsion non-algebraic classes in the Brown–Peterson tower;Mathematical Proceedings of the Cambridge Philosophical Society;2020-10-16

3. Examples of non-algebraic classes in the Brown–Peterson tower;Mathematische Zeitschrift;2018-11-09

4. Note on restriction maps of Chow rings to Weyl group invariants;Kodai Mathematical Journal;2017-10-01

5. Representation theory and the cycle class map of a classifying space;Algebraic Geometry;2017-03-15