p-adic deformation of algebraic cycle classes

Details p-adic deformation of algebraic cycle classes p-adic deformation of algebraic cycle classes

2012-03-13

arxiv.org/abs/1203.2776v1

Mathematics

Algebraic Geometry

34 pages

Scientific paper

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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