Associated primes of local cohomology module

Details Associated primes of local cohomology module Associated primes of local cohomology module

2004-10-28

arxiv.org/abs/math/0410598v1

Mathematics

Commutative Algebra

7 pages, to appear in Proceedings of the American Mathematical Society

Scientific paper

Let $\fa$ be an ideal of a commutative Noetherian ring $R$ and $M$ a finitely generated $R$-module. Let $t$ be a natural integer. It is shown that there is a finite subset $X$ of $\Spec R$, such that $\Ass_R(H_{\fa}^t(M))$ is contained in $X$ union with the union of the sets $\Ass_R(\Ext_R^j(R/\fa,H_{\fa}^i(M)))$, where $0\leq i

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