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On the integral Hodge conjecture for varieties with trivial Chow group

Published online by Cambridge University Press:  17 May 2023

HUMBERTO A. DIAZ
HUMBERTO A. DIAZ*
Affiliation:
Washington University in Saint Louis, 1 Brookings Dr., St. Louis, MO 63130, U.S.A. e-mail: humbertoadiaziii@gmail.com
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 175 , Issue 2 , September 2023 , pp. 433 - 443
Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Cambridge Philosophical Society

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