Deformation of algebraic cycle classes in characteristic zero
Algebraic Geometry
2014-02-25 v2
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-K\"unneth decomposition and the existence of expected deformations of cycles. This observation applies in particular to abelian schemes.
Cite
@article{arxiv.1310.1773,
title = {Deformation of algebraic cycle classes in characteristic zero},
author = {Spencer Bloch and Hélène Esnault and Moritz Kerz},
journal= {arXiv preprint arXiv:1310.1773},
year = {2014}
}
Comments
21 pages