Matlis duals of top Local cohomology modules

Hellus, Michael; Stückrad, Jürgen

doi:10.1090/S0002-9939-07-09157-5

Matlis duals of top Local cohomology modules
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by Michael Hellus and Jürgen Stückrad PDF

Proc. Amer. Math. Soc. 136 (2008), 489-498 Request permission

Abstract:

In the first section of this paper we present generalizations of known results on the set of associated primes of Matlis duals of local cohomology modules; we prove these generalizations by using a new technique. In section 2 we compute the set of associated primes of the Matlis dual of $\operatorname {H}^{d-1}_J(R)$, where $R$ is a $d$-dimensional local ring and $J\subseteq R$ an ideal such that $\dim (R/J)=1$ and $\operatorname {H}^d_J(R)=0$.

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