Cofiniteness and coassociated primes of local cohomology modules
Commutative Algebra
2008-10-23 v1 Algebraic Geometry
Abstract
Let be a noetherian ring, an ideal of such that and a finite --module. We will study cofiniteness and some other properties of the local cohomology modules . For an arbitrary ideal and an --module (not necessarily finite), we will characterize --cofinite artinian local cohomology modules. Certain sets of coassociated primes of top local cohomology modules over local rings are characterized.
Keywords
Cite
@article{arxiv.0810.3969,
title = {Cofiniteness and coassociated primes of local cohomology modules},
author = {Moharram Aghapournahr and Leif Melkersson},
journal= {arXiv preprint arXiv:0810.3969},
year = {2008}
}
Comments
10 pages, to appear in Mathematica Scandinavica