De Rahm Cohomology of Local Cohomology modules II

Abstract

Let $K$ be an algebraically closed field of characteristic zero and let $R=K[X_1,\dots ,X_n]$. Let $I$ be an ideal in $R$. Let $A_n(K)$ be the $n^{th}$ Weyl algebra over $K$. By a result of Lyubeznik, the local cohomology modules $H_I^i(R)$ are holonomic $A_n(K)$-modules for each $i\ge 0$. In this paper we compute the Euler characteristic of De-Rahm cohomology of $H^{\htt P}_P(R)$ for certain classes of prime ideals $P$ in $R$.

References in corpus (1)

• Injective modules over some rings of Differential operators

Cited by in corpus (1)

• De Rahm cohomology of local cohomology modules-The graded case