Results 11 to 20 of about 175 (120)
One the P-Adic Local Invariant Cycle Theorem [PDF]
, 2012 The aim of this paper is to consider the $p$-adic local invariant cycle theorem in the mixed characteristic case. In the first part of the paper, via case-by-case discussion, we construct the $p$-adic specialization map, and then write out the ...
Wu, Yi-Tao
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Finiteness properties of local cohomology modules [PDF]
, 2022 Local cohomology modules are one of the central objects in commutative algebra. However, the structure of these modules is still full of mystery. Lyubeznik conjectured that the number of associated primes and all the Bass numbers of local cohomology ...
Quingles Daví, Guillem
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Matlis dual of local cohomology modules [PDF]
, 2020 summary:Let $(R,\mathfrak m)$ be a commutative Noetherian local ring, $\mathfrak a$ be an ideal of $R$ and $M$ a finitely generated $R$-module such that $\mathfrak a M\neq M$ and ${\rm cd}(\mathfrak a,M) - {\rm grade}(\mathfrak a,M)\leq 1$, where ${\rm ...
Naal, Batoul, Khashyarmanesh, Kazem
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On Finiteness Properties of Local Cohomology Modules [PDF]
, 2022 openThis thesis has its foundations in the fields of homological and commutative algebra, in particular in the study of local cohomology. Local cohomology was introduced by Grothendieck in the early 1960s, in part to answer a conjecture of Pierre Samuel ...
SABATINI, ENRICO
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Local cohomology in classical rings [PDF]
, 1992 The aim of this paper is to stablish the close connection between prime ideals and torsion theories in anon necessarily commutative noetherian ring. We introduce a new definition of support of a module and characterize some kinds of torsion theories in ...
Jara Martinez, P +3 more
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Local Cohomology, Multigradings and Polyhedral Combinatorics [PDF]
, 2023 The goal of combinatorial commutative algebra is to study the interplay between commutative algebra and various subfields of combinatorics such as enumerative combinatorics and discrete geometry.
Yu, Byeongsu
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Poincaré duality in Hochschild (co)homology [PDF]
, 2006 These are notes on van den Bergh’s analogue of Poincar´e duality in Hochschild (co)homology [VdB98]. They are based on survey talks that I gave in 2006 in G¨ottingen, Cambridge and Warsaw and consist of an elementary explanation of the proof in terms ...
Kraehmer, U.
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The connective K theory of semidihedral groups [PDF]
, 2010 The real connective K-homology of finite groups ko¤(BG), plays a big role in the Gromov-Lawson-Rosenberg (GLR) conjecture. In order to compute them, we can calculate complex connective K-cohomology, ku¤(BG), first and then follow by computing complex ...
Rodtes, Kijti
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Local cohomology in classical rings
, 2021 The aim of this paper is to stablish the close connection between prime ideals and torsion theories in anon necessarily commutative noetherian ring. We introduce a new definition of support of a module and characterize some kinds of torsion theories in ...
Bueso, J. L., Jara, P.
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Stable cohomology over local rings
, 2007 For a commutative noetherian ring R with residue field k stable cohomology modules ExtˆRn(k,k) have been defined for each n∈Z, but their meaning has remained elusive. It is proved that the k-rank of any ExtˆRn(k,k) characterizes important properties of R,
Avramov, Luchezar L., Veliche, Oana
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