On the integral Hodge conjecture for varieties with trivial Chow group

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.

submitted; comments welcome

Cited by in corpus (1)

• On the failure of the integral Hodge/Tate conjecture for products with projective hypersurfaces