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Cofinite modules and local cohomology

โœ Scribed by Donatella Delfino; Thomas Marley

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
522 KB
Volume
121
Category
Article
ISSN
0022-4049

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๐Ÿ“œ SIMILAR VOLUMES

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Let R be a d-dimensional regular local ring, I an ideal of R, and M a finitely generated R-module of dimension n. We prove that the set of associated primes of Ext i R (R/I, H j I (M)) is finite for all i and j in the following cases: (a) dim M 3; (b) dim R 4; (c) dim M/I M 2 and M satisfies Serre's

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Let G be a connected reductive algebraic group over an algebraically closed field of characteristic zero and let W, U be two finite dimensional representations of G. In this paper we compute the local cohomology of (U SW ) G provided a certain relatively weak technical condition is true.