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Deformation of Algebraic Cycle Classes in Characteristic Zero by Bloch, Spencer; Esnault, Hélène; Kerz, Moritz is a scholarly article available to read on EtoBox.

What is Deformation of Algebraic Cycle Classes in Characteristic Zero about?

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.

Author

Bloch, Spencer; Esnault, Hélène; Kerz, Moritz

Published

2013

Language

EN