List questions from local-cohomology

Published on 14 Nov 2023 - 19:22

56

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A proof that two definitions of a dualizing (canonical) module are equivalent

Published on 02 Dec 2023 - 12:12

82

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If two $\delta$-functors coincide on finitely length modules do they coincide on finitely generated modules?

Published on 10 Dec 2023 - 11:25

80

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Do $I$-torsion and $I$-torsion-free modules form a torsion pair

Published on 22 Dec 2023 - 6:47

875

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Direct-Sum Decomposition of an Artinian module

Published on 03 Jan 2015 - 2:24

105

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$H^i_I(M)$ is finitely generated iff the support of $Ext^{d-i}_S(M, S)$ has dimension zero

Published on 19 Jan 2015 - 11:17

192

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Is the converse of Proposition 3.5.4 (c) of Bruns_Herzog true?

Published on 25 Mar 2026 - 6:07

178

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Local cohomology killed by a power of I

Published on 04 Feb 2015 - 17:36

337

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definitions of $I$-torsion functor $\Gamma_I$

Published on 11 May 2015 - 7:57

114

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$\Gamma_I(E)$ is an injective $R$-module? $H^i_I(E)=0;\forall i\gt 0$

Published on 11 May 2015 - 12:58

181

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local cohomology and radical of ideal

Published on 07 Jun 2015 - 11:13

91

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cohomology ring of cross-section space of fibre-bundles

Published on 12 Aug 2015 - 6:04

158

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The last nonzero local cohomology module is not finitely generated.

Published on 14 Aug 2015 - 8:52

110

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Cohomological dimension of an arbitrary module.

Published on 28 Aug 2015 - 3:59

139

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A basic question on local cohomology

Published on 02 Oct 2015 - 9:36

List Question

Example of module on dimension $d$ with trivial local cohomology $H^d_I(M)$.

A proof that two definitions of a dualizing (canonical) module are equivalent

If two $\delta$-functors coincide on finitely length modules do they coincide on finitely generated modules?

Do $I$-torsion and $I$-torsion-free modules form a torsion pair

Direct-Sum Decomposition of an Artinian module

$H^i_I(M)$ is finitely generated iff the support of $Ext^{d-i}_S(M, S)$ has dimension zero

Is the converse of Proposition 3.5.4 (c) of Bruns_Herzog true?

Local cohomology killed by a power of I

definitions of $I$-torsion functor $\Gamma_I$

$\Gamma_I(E)$ is an injective $R$-module? $H^i_I(E)=0;\forall i\gt 0$

local cohomology and radical of ideal

cohomology ring of cross-section space of fibre-bundles

The last nonzero local cohomology module is not finitely generated.

Cohomological dimension of an arbitrary module.

A basic question on local cohomology

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