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arXiv · 1203.2776

p-adic deformation of algebraic cycle classes

Spencer Bloch·Hélène Esnault·Moritz Kerz
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Abstract

We study the p-adic deformation properties of algebraic cycle classes modulo rational equivalence. We show that the crystalline Chern character of a vector bundle lies in a certain part of the Hodge filtration if and only if, rationally, the class of the vector bundle lifts to a formal pro-class in K-theory on the p-adic scheme.

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Spencer Bloch, Hélène Esnault, Moritz Kerz. 2012-03-13. p-adic deformation of algebraic cycle classes. https://arxiv.org/abs/1203.2776

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