Results 11 to 20 of about 2,135 (235)
Coarsening of Graded Local Cohomology [PDF]
Communications in Algebra, 2013 minor ...
Fred Rohrer
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TOPOLOGY ON COHOMOLOGY OF LOCAL FIELDS [PDF]
Forum of Mathematics, Sigma, 2015 Arithmetic duality theorems over a local field $k$ are delicate to prove if $\text{char}\,k>0$. In this case, the proofs often exploit topologies carried by the cohomology groups $H^{n}(k,G)$ for commutative finite type $k$-group schemes $G$. These ‘Čech
KĘSTUTIS ČESNAVIČIUS
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Analytic sheaves of local cohomology [PDF]
Transactions of the American Mathematical Society, 1969 In this paper we are interested in the following problem: Suppose V is an analytic subvariety of a (not necessarily reduced) complex analytic space X, F is a coherent analytic sheaf on XV, and 0: XV -X is the inclusion map. When is Gq(Y) coherent (where Gq(Y) is the qth direct image of Y under 0)?
Yum-Tong Siu
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Some Properties of Serre Subcategories in the Graded Local Cohomology Modules [PDF]
Journal of Mathematics, 2017 Let R=⊕n≥0Rn be a standard homogeneous Noetherian ring with local base ring (R0,m0) and let M be a finitely generated graded R-module. Let HR+i(M) be the ith local cohomology module of M with respect to R+=⊕n>0Rn.
Feysal Hassani, Rasul Rasuli
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Local Cohomology—An Invitation [PDF]
, 2021 This article is part introduction and part survey to the mathematical area centered around local cohomology.
Walther, Uli, Zhang, Wenliang
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Locally constant cohomology [PDF]
Transactions of the American Mathematical Society, 1992 In this paper we study locally constant cohomology theories on a space X X . We prove that for cohomology theories on a category of paracompact spaces the homotopy axiom of Eilenberg-Steenrod is a consequence of the other Eilenberg-Steenrod axioms together with continuity and either additivity or weak additivity. We also prove that if
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Extended Local Cohomology and Local Homology [PDF]
Algebras and Representation Theory, 2016 We present an in-depth exploration of the module structures of local (co)homology modules (moreover, for complexes) over the completion $\widehat R^{\mathfrak a}$ of a commutative noetherian ring $R$ with respect to a proper ideal $\mathfrak a$. In particular, we extend Greenlees-May Duality and MGM Equivalence to track behavior over $\widehat R ...
Sather-Wagstaff, Sean, Wicklein, Richard
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Communications in Algebra, 2016 Let $R$ be a Gorenstein local ring, $\frak{a}$ an ideal in $R$, and $M$ an $R$-module. The local cohomology of $M$ supported at $\frak{a}$ can be computed by applying the $\frak{a}$-torsion functor to an injective resolution of $M$. Since $R$ is Gorenstein, $M$ has a complete injective resolution, so it is natural to ask what one gets by applying the $\
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$p$-local finite group cohomology [PDF]
Homology, Homotopy and Applications, 2011 We study cohomology for $p$-local finite groups with non-constant coefficient systems. In particular we show that under certain restrictions there exists a cohomology transfer map in this context, and deduce the standard consequences.
Levi, Ran, Ragnarsson, Kári
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Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I
Journal of High Energy Physics, 2023 We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d N $$ \mathcal{N} $$ =2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a ...
Philip C. Argyres +2 more
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