Local cohomology and pure morphisms
Commutative Algebra
2007-08-27 v2
Abstract
We study a question raised by Eisenbud, Mustata, and Stillman regarding the injectivity of natural maps from Ext modules to local cohomology modules. We obtain some positive answers to this question which extend earlier results of Lyubeznik. In the process, we also prove a vanishing theorem for local cohomology modules which connects theorems previously known in the case of positive characteristic and in the case of monomial ideals.
Cite
@article{arxiv.math/0701524,
title = {Local cohomology and pure morphisms},
author = {Anurag K. Singh and Uli Walther},
journal= {arXiv preprint arXiv:math/0701524},
year = {2007}
}