English

On the integral Hodge conjecture for varieties with trivial Chow group

Algebraic Geometry 2023-08-16 v1

Abstract

We obtain examples of smooth projective varieties over C\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.

Keywords

Cite

@article{arxiv.2204.13818,
  title  = {On the integral Hodge conjecture for varieties with trivial Chow group},
  author = {Humberto A. Diaz},
  journal= {arXiv preprint arXiv:2204.13818},
  year   = {2023}
}

Comments

submitted; comments welcome