List questions from local-cohomology

Published on 13 May 2014 - 19:21

125

Views

$\operatorname{supp}(M) \subseteq \operatorname{supp}(N) \iff f_I(M)\subseteq f_I(N) $?

Published on 27 Jul 2014 - 12:04

193

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$\Gamma_{\mathfrak a}(I)$ is an injective $R$-module for every injective $R$-module $I$

Published on 30 Jul 2014 - 15:43

130

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Vanishing of local cohomology and primary decomposition

Published on 30 Jul 2014 - 16:58

260

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Does the $I$-torsion functor commute with inverse limit?

Published on 01 Aug 2014 - 3:01

1.1k

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Koszul Homology vs Koszul Cohomology

Published on 08 Oct 2014 - 21:29

313

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On modules which elements are annihilated by a power of the maximal ideal and localization

Published on 14 Jan 2020 - 18:02

44

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Increasing the number of ideals in an exact sequence

Published on 15 Mar 2020 - 19:27

152

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On the first Local Cohomology module of a complete local ring of depth $1$

Published on 03 Apr 2020 - 18:14

72

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Depth of tensor product of modules which are locally free on the punctured spectrum of regular local ring

Published on 28 Jun 2020 - 7:58

358

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Proving a duality between Ext and Tor for maximal Cohen-Macaulay modules over Gorenstein ring

Published on 24 Jul 2020 - 0:25

214

Views

A version of Peskine and Szpiro's theorem in vanishing of local cohomology.

Published on 10 Sep 2016 - 17:08

110

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Nonvanishing of local cohomology and associated primes

Published on 08 Feb 2017 - 1:54

121

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Twisted Cohomology of BO

Published on 05 Mar 2017 - 11:47

135

Views

Prove that for arbitrary polynomials $f,g,h \in k[x,y] (k$ a field),$ (fgh)^2 \in (f^3,g^3,h^3)$.

Published on 09 May 2023 - 12:48

List Question

The Relationship Between Cohomological Dimension and Support

$\operatorname{supp}(M) \subseteq \operatorname{supp}(N) \iff f_I(M)\subseteq f_I(N) $?

$\Gamma_{\mathfrak a}(I)$ is an injective $R$-module for every injective $R$-module $I$

Vanishing of local cohomology and primary decomposition

Does the $I$-torsion functor commute with inverse limit?

Koszul Homology vs Koszul Cohomology

On modules which elements are annihilated by a power of the maximal ideal and localization

Increasing the number of ideals in an exact sequence

On the first Local Cohomology module of a complete local ring of depth $1$

Depth of tensor product of modules which are locally free on the punctured spectrum of regular local ring

Proving a duality between Ext and Tor for maximal Cohen-Macaulay modules over Gorenstein ring

A version of Peskine and Szpiro's theorem in vanishing of local cohomology.

Nonvanishing of local cohomology and associated primes

Twisted Cohomology of BO

Prove that for arbitrary polynomials $f,g,h \in k[x,y] (k$ a field),$ (fgh)^2 \in (f^3,g^3,h^3)$.

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