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COHOMOLOGY THEORY OF VARIETIES OVER RINGS. [PDF]
Chow WL, Igusa J.
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Linearization of local cohomology modules
The aim of this work is to describe the linear structure of regular holonomic $\mathcal D$-modules with support a normal crossing with variation zero introduced in [Local cohomology, arrangements of subspaces and monomial ideals, to appear in Adv.
รlvarez Montaner, Josep +1 more
core
Top generalized local cohomology modules
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A Generalization of Formal Local Cohomology Modules
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COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
AbstractLet ๐ be an ideal of a Noetherian ring R. Let s be a nonnegative integer and let M and N be two R-modules such that ExtjR(M/๐M,Hi๐(N)) is finite for all i<s and all jโฅ0 . We show that HomR (R/๐,Hs๐(M,N)) is finite provided ExtsR(M/๐M,N) is a finite R-module.
Borna, Keivan +2 more
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Cominimaxness of generalized local cohomology modules
Bulletin of the Belgian Mathematical Society - Simon StevinThis paper investigates the finiteness properties of generalized local cohomology modules. Let \(R\) be a commutative Noetherian ring with identity, and \(\mathfrak{a}\) an ideal of \(R\). For two \(R\)-modules \(X\) and \(Y,\) and an integer \(i\geq 0\), the \(i\)th \textit{generalized local cohomology} module of \(X\) and \(Y\) with respect to ...
Roshan-Shekalgourabi, Hajar +1 more
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Generalized local cohomology and regularity of Ext modules [PDF]
Let R be a Noetherian standard graded ring, and M and N two finitely generated graded R-modules. We introduce regR(M,N) by using the notion of generalized local cohomology instead of local cohomology, in the definition of regularity. We prove that regR(M,
Kamran Divaani-Aazar, Marc Chardin
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