On the integral Hodge conjecture for varieties with trivial Chow group

Published 28 Apr 2022 in math.AG | (2204.13818v1)

Abstract: We obtain examples of smooth projective varieties over $\mathbb{C}$ that violate the integral Hodge conjecture and for which the total Chow group is of finite rank. Moreover, we show that there exist such examples defined over number fields.

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Humberto A. Diaz

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