Local cohomology and D-affinity in positive characteristic

Details Local cohomology and D-affinity in positive characteristic Local cohomology and D-affinity in positive characteristic

2002-10-11

arxiv.org/abs/math/0210171v1

C. R. Acad. Sci. Paris 335 (2002), 993-996.

Mathematics

Algebraic Geometry

Scientific paper

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.

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