Finiteness properties of duals of local cohomology modules
Commutative Algebra
2007-05-23 v1
Abstract
We investigate Matlis duals of local cohomology modules and prove that, in general, their zeroth Bass number with respect to the zero ideal is not finite. We also prove that, somewhat surprisingly, if we apply local cohomology again (i. e. to the Matlis dual of the local cohomology module), we get (under certain hypotheses) either zero or , an -injective hull of the residue field of the local ring .
Cite
@article{arxiv.math/0607080,
title = {Finiteness properties of duals of local cohomology modules},
author = {Michael Hellus},
journal= {arXiv preprint arXiv:math/0607080},
year = {2007}
}
Comments
10 pages