Overconvergent Chern Classes and Higher Cycle Classes
Number Theory
2014-06-17 v2
Abstract
The goal of this work is to construct integral Chern classes and higher cycle classes for a smooth variety over a perfect field of characteristic p>0 that are compatible with the rigid Chern classes defined by Petrequin. The Chern classes we define have coefficients in the overconvergent de Rham-Witt complex of Davis, Langer and Zink and the construction is based on the theory of cycle modules discussed by Rost. We prove a comparison theorem in the case of a quasi-projective variety.
Cite
@article{arxiv.1310.3229,
title = {Overconvergent Chern Classes and Higher Cycle Classes},
author = {Veronika Ertl},
journal= {arXiv preprint arXiv:1310.3229},
year = {2014}
}
Comments
43 pages