On the vanishing of local cohomology in characteristic p > 0

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

[学科分类] 数学（综合）