Characteristic 0 and p analogies, and some motivic cohomology
Algebraic Geometry
2013-08-26 v1 Commutative Algebra
Abstract
The purpose of this survey is to explain some recent results about analogies between characteristic 0 and characteristic geometry, and to discuss an infinitesimal variant of motivic cohomology. More specifically, we review results showing that the big de Rham Witt complex of a field is a complex of 0-cycles (section 2), as well as results showing analogies between char. and char. 0 geometry. Some of those results determine local cohomology invariants of singular varieties (section 3) and others are concerned with congruences modulo -powers for the number of rational points of varieties defined over (section 1).
Keywords
Cite
@article{arxiv.math/0512190,
title = {Characteristic 0 and p analogies, and some motivic cohomology},
author = {Manuel Blickle and Hélène Esnault and Kay Rülling},
journal= {arXiv preprint arXiv:math/0512190},
year = {2013}
}
Comments
25 pages