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Local cohomology and D-affinity in positive characteristic

Masaki Kashiwara·Niels Lauritzen
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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.

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Masaki Kashiwara, Niels Lauritzen. 2002-10-11. Local cohomology and D-affinity in positive characteristic. https://arxiv.org/abs/math/0210171

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