Year: 2012
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Bloch, Spencer, Esnault, Hélène, Kerz, Moritz
Institutions: University of Regensburg, Freie Universität Berlin
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952578773