Finitely Graded Local Cohomology and the Depths of Graded Algebras
نویسندگان
چکیده
منابع مشابه
Graded Lie Algebras and Intersection Cohomology
Let (G, ι) be a pair consisting of a reductive connected algebraic group over C and a homomorphism of algebraic groups ι : C∗ −→ G. The centralizer G of ι(C∗) in G acts naturally (with finitely many orbits) on the n-eigenspace LnG of Ad(ι(C∗)) on the Lie algebra LG of G. (Here n ∈ Z − {0}.) If O is a Gorbit on LnG and L is a G-equivariant irreducible local system on O then the intersection coho...
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Given a module M over a ring R that has a grading by a semigroup Q, we present a spectral sequence that computes the local cohomology H I(M) at any graded ideal I in terms of Ext modules. We use this method to obtain finiteness results for the local cohomology of graded modules over semigroup rings. In particular we prove that for a semigroup Q whose saturation Q is simplicial, and a finitely g...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.2307/2161882