Top local cohomology modules with specified attached primes
Abstract
Let (R,m) be a complete Noetherian local ring and let M be a finite R--module of positive Krull dimension n. It is shown that any subset T of AsshR(M) can be expressed as the set of attached primes of the top local cohomology module Hna(M) for some ideal a of R. Moreover if a is an ideal of R such that the set of attached primes of Hna(M) is a non--empty proper subset of AsshR(M), then Hna(M)=Hnb(M) for some ideal b of R with dimR (R/b)=1.
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