Cohomology of G-sheaves in positive characteristic
Number Theory
2007-05-23 v3 Algebraic Geometry
Abstract
Let X be a noetherian scheme defined over an algebraically closed field of positive characteristic p, and G be a finite group, of order divisible by p, acting on X. We introduce a refinement of the equivariant K-theory of X to take into account the information related to modular representation theory. As an application, in the 1-dimensional case, we generalize a modular Riemann-Roch theorem given by S.Nakajima, extending the link between Galois modules and wild ramification.
Keywords
Cite
@article{arxiv.math/0212276,
title = {Cohomology of G-sheaves in positive characteristic},
author = {Niels Borne},
journal= {arXiv preprint arXiv:math/0212276},
year = {2007}
}
Comments
42 pages, two applications to Galois covers of curves in positive characteristic added, see the introduction. Definition 7.24 corrected