Local cohomology and pure morphisms

Details Local cohomology and pure morphisms Local cohomology and pure morphisms

2007-01-18

arxiv.org/abs/math/0701524v2

Mathematics

Commutative Algebra

Scientific paper

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.

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