On the integral Tate conjecture for finite fields

TL;DR

This paper provides counterexamples to the integral Tate conjecture over finite fields, extending previous results to all prime numbers and challenging existing assumptions in algebraic geometry.

Contribution

It introduces non-torsion counterexamples for the integral Tate conjecture applicable to all prime numbers over finite fields.

Findings

Counterexamples to the integral Tate conjecture for all primes

Extension of prior results from specific primes to all primes

Challenges to the validity of the integral Tate conjecture in this setting

Abstract

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