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Local Cohomology of Modules of Covariants

โœ Scribed by Michel van den Bergh


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
429 KB
Volume
144
Category
Article
ISSN
0001-8708

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โœฆ Synopsis


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.


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The Largest Non-vanishing Degree of Grad
โœ Ngรด Viรชt Trung ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 136 KB

This paper gives characterizations for the largest non-vanishing degree of the local cohomology modules of a graded ring S in terms of a reduction of S and of q the associated graded ring of an ideal I in terms of any reduction of I. As a consequence, this invariant can be computed explicitly for th