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arXiv · 1310.1773

Deformation of algebraic cycle classes in characteristic zero

Spencer Bloch·Hélène Esnault·Moritz Kerz
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Abstract

We study a formal deformation problem for rational algebraic cycle classes motivated by Grothendieck's variational Hodge conjecture. We argue that there is a close connection between the existence of a Chow-Künneth decomposition and the existence of expected deformations of cycles. This observation applies in particular to abelian schemes.

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Spencer Bloch, Hélène Esnault, Moritz Kerz. 2014-02-24. Deformation of algebraic cycle classes in characteristic zero. https://arxiv.org/abs/1310.1773

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