p-adic deformation of algebraic cycle classes
Algebraic Geometry
2013-03-08 v2
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.
Cite
@article{arxiv.1203.2776,
title = {p-adic deformation of algebraic cycle classes},
author = {Spencer Bloch and Hélène Esnault and Moritz Kerz},
journal= {arXiv preprint arXiv:1203.2776},
year = {2013}
}
Comments
39 pages, final version