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arXiv · 2204.13818

On the integral Hodge conjecture for varieties with trivial Chow group

Humberto A. Diaz
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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. 2022-04-28. On the integral Hodge conjecture for varieties with trivial Chow group. https://doi.org/10.1017/s0305004123000233

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