Cohomology of G-sheaves in positive characteristic

Details Cohomology of G-sheaves in positive characteristic Cohomology of G-sheaves in positive characteristic

2002-12-19

arxiv.org/abs/math/0212276v3

Mathematics

Number Theory

42 pages, two applications to Galois covers of curves in positive characteristic added, see the introduction. Definition 7.24

Scientific paper

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.

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