On the integral Tate conjecture for abelian varieties
Algebraic Geometry
2025-09-09 v1
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.
Cite
@article{arxiv.2509.06707,
title = {On the integral Tate conjecture for abelian varieties},
author = {J. S. Milne},
journal= {arXiv preprint arXiv:2509.06707},
year = {2025}
}
Comments
2 pages