$F$-stable submodules of top local cohomology modules of Gorenstein rings
Commutative Algebra
2007-05-23 v1
Abstract
This paper applies G. Lyubeznik's notion of -finite modules to describe in a very down-to-earth manner certain annihilator submodules of some top local cohomology modules over Gorenstein rings. As a consequence we obtain an explicit description of the test ideal of Gorenstein rings in terms of ideals in a regular ring.
Cite
@article{arxiv.math/0602550,
title = {$F$-stable submodules of top local cohomology modules of Gorenstein rings},
author = {Mordechai Katzman},
journal= {arXiv preprint arXiv:math/0602550},
year = {2007}
}