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arXiv · 1312.5852

On injective resolutions of local cohomology modules

Tony J. Puthenpurakal
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Abstract

Let $K$ be a field of characteristic zero and let $R = K[X_1,\ldots,X_n]$. Let $I$ be an ideal in $R$ and let $M = H^i_I(R)$ be the $i^{th}$-local cohomology module of $R$ with respect to $I$. Let $c = \ injdim \ M$. We prove that if $P$ is a prime ideal in $R$ with Bass number $μ_c(P,M) > 0$ then $P$ is a maximal ideal in $R$.

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Tony J. Puthenpurakal. 2013-12-20. On injective resolutions of local cohomology modules. https://arxiv.org/abs/1312.5852

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