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arXiv · 1308.0165

De Rahm Cohomology of Local Cohomology modules II

Tony J. Puthenpurakal·Rakesh B. T. Reddy
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Abstract

Let $K$ be an algebraically closed field of characteristic zero and let $R = K[X_1,\ldots,X_n]$. 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 $i \geq 0$. 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 $R$.

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Tony J. Puthenpurakal, Rakesh B. T. Reddy. 2013-08-01. De Rahm Cohomology of Local Cohomology modules II. https://arxiv.org/abs/1308.0165

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