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On the integral Hodge conjecture for varieties with trivial Chow group
Published online by Cambridge University Press: 17 May 2023
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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