Local cohomology and D-affinity in positive characteristic
classification
🧮 math.AG
math.ACmath.RT
keywords
characteristicpositivecohomologyd-affinitylocalbeilinson-bernsteincomparingcounterexample
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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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