Local cohomology and D-affinity in positive characteristic
Algebraic Geometry
2007-06-13 v1 Commutative Algebra
Representation Theory
Abstract
Comparing vanishing of local cohomology in zero and positive characteristic, we give an example of a D-module on a Grassmann variety in positive characteristic with non-vanishing first cohomology group. This is a counterexample to D-affinity and the Beilinson-Bernstein equivalence for flag manifolds in positive characteristic.
Keywords
Cite
@article{arxiv.math/0210171,
title = {Local cohomology and D-affinity in positive characteristic},
author = {Masaki Kashiwara and Niels Lauritzen},
journal= {arXiv preprint arXiv:math/0210171},
year = {2007}
}