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arXiv · 1302.0116

De Rahm cohomology of local cohomology modules

Tony J. Puthenpurakal
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Abstract

Let $K$ be a field of characteristic zero, $R = K[X_1,...,X_n]$ and let $I$ be an ideal in $R$. Let $A_n(K) = K $ be the $n^{th}$ Weyl algebra over $K$. By a result due to Lyubeznik the local cohomology modules $H^i_I(R)$ are holonomic $A_n(K)$-modules for each $i \geq 0$. In this article we compute the Koszul homology modules $H_*(\partial_1,...,\partial_n ; H^*_I(R))$ for certain classes of ideals.

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Tony J. Puthenpurakal. 2013-02-01. De Rahm cohomology of local cohomology modules. https://arxiv.org/abs/1302.0116

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