paper

On the integral Tate conjecture for abelian varieties

arXiv:2509.06707

Abstract

Recently Engel et al. (2025) have shown that the integral Hodge conjecture fails for very general abelian varieties. Using Deligne's theory of absolute Hodge cycles, we deduce a similar statement for the integral Tate conjecture.

2 pages

On the integral Tate conjecture for abelian varieties · wovepaper