On a generalization of a result of Peskine and Szpiro

الأصل · EN

Let (R,m) be a regular local ring containing a field K. Let I be a Cohen-Macaulay ideal of height g. If char K = p > 0 then by a result of Peskine and Szpiro the local cohomology modules Hⁱᵢ(R) vanish for i > g. This result is not true if char K = 0. However we prove that the Bass numbers of the local cohomology module Hᵍᵢ(R) completely determine whether Hⁱᵢ(R) vanish for i > g.