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

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

2009-06-03

arxiv.org/abs/0906.0642v2

Mathematics

Commutative Algebra

7 pages (theorem 3.2 - minor changes)

Scientific paper

In continuation of [1] we study associated primes of Matlis duals of local cohomology modules (MDLCM). We combine ideas from Helmut Z\"oschinger on coassociated primes of arbitrary modules with results from [1], [4], [5], [6] and obtain partial answers to questions which were left open in [1]. These partial answers give further support for conjecture $(*)$ from [1] on the set of associated primes of MDLCMs. In addition, and also inspired by ideas from Z\"oschinger, we prove some non-finiteness results of local cohomology.

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