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On the integral Tate conjecture for abelian varieties

Published 8 Sep 2025 in math.AG | (2509.06707v1)

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.

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