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Lower bounds for finiteness of generalized local cohomology modules and their associated primes
Generalized local cohomology modules associatted prime Serre subcategories
2011/9/20
Abstract: Let $R$ be a commutative Noetherian ring with non-zero identity, $\fa$ an ideal of $R$, $M$ a finite $R$--module and $X$ an arbitrary $R$--module. In this paper, we study relations between f...
Representations of finite groups: Local cohomology and support
Representations of finite groups Local cohomology Commutative Algebra
2011/9/20
Abstract: These are the notes from an Oberwolfach Seminar which we ran from 23--29 May 2010.
On Artinianness of Formal Local Cohomology, Colocalization and Coassociated Primes
ormal Local Cohomology Colocalization Coassociated Primes
2010/11/23
This paper at first concerns some criteria on Artinianness and vanishing of formal local cohomology modules. Then we consider the cosupport and the set of coassociated primes of these modules more pre...
A Splitting Theorem for Local Cohomology and its Applications
Local cohomology split exact sequence generalized Cohen-Macaulay module
2010/12/8
Let R be a commutative Noetherian ring and M a finitely generated R-module. We show in this paper that.
Cohomology on Toric Varieties and Local Cohomology with Monomial Supports
Cohomology Toric Varieties Local Monomial Supports
2010/11/1
We study the local cohomology modules H^i_B(R) for a reduced monomial ideal B in a polynomial ring R=k[X_1,...,X_n]. We consider a grading on R which is coarser than the Z^n-grading such that each com...
For a reduced monomial ideal B in R=k[X_1,...,X_n], we write H^i_B(R) as the union of {Ext^i(R/B^[d],R)}_d, where {B^[d]}_d are the "Frobenius powers of B". We describe H^i_B(R)_p, for every p in Z^n...