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On the vanishing of local cohomology in characteristic p 0

机译:On the vanishing of local cohomology in characteristic p 0

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摘要

Let R be a d-dimensional regular local ring of characteristic p>0 with maximal ideal m, let I be an ideal of R and let A=R/I. We describe some properties of the local cohomology module H-I(i)(R), in particular its vanishing, in terms of the Frobenius action on the local cohomology module H-m(di-)(A).

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