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On the integral Tate conjecture for abelian varieties
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classification
math.AG
keywords
conjectureintegralabelianhodgetatevarietiesabsolutecycles
topics
The Hodge Conjecture
read the original 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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