On the associated primes of Matlis duals of top local cohomology modules

Details On the associated primes of Matlis duals of top local cohomology modules On the associated primes of Matlis duals of top local cohomology modules

2004-06-09

arxiv.org/abs/math/0406165v1

Mathematics

Commutative Algebra

10 pages

Scientific paper

After motivating the question we prove various results about the set of
associated primes of Matlis duals of top local cohomology modules. In some
cases we can calculate this set, for the general situation we present a
conjecture. An easy application of this theory is the well-known fact that
Krull dimension can be expressed by the vanishing of local cohomology modules.

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