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arXiv · 1911.04701

Holomorphic vector fields and Chow groups

Wenchuan Hu
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Abstract

We show that the chow group of $p$-cycles with rational coefficients are isomorphic to the corresponding rational homology groups for smooth complex projective varieties carrying a holomorphic vector field with an isolated zero locus. As applications, we obtain Chow groups and Lawson homology groups with rational coefficients and verify the Friedlander-Mazur conjecture and the Generalized Hodge conjecture for those varieties.

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Wenchuan Hu. 2019-11-12. Holomorphic vector fields and Chow groups. https://arxiv.org/abs/1911.04701

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