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15
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Example of module on dimension $d$ with trivial local cohomology $H^d_I(M)$.

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#commutative-algebra #local-cohomology
57
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A proof that two definitions of a dualizing (canonical) module are equivalent

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#commutative-algebra #homological-algebra #local-cohomology
84
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If two $\delta$-functors coincide on finitely length modules do they coincide on finitely generated modules?

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#commutative-algebra #category-theory #homological-algebra #local-cohomology
82
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Do $I$-torsion and $I$-torsion-free modules form a torsion pair

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#commutative-algebra #category-theory #local-cohomology
877
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Direct-Sum Decomposition of an Artinian module

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#abstract-algebra #commutative-algebra #modules #local-cohomology
108
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$H^i_I(M)$ is finitely generated iff the support of $Ext^{d-i}_S(M, S)$ has dimension zero

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#commutative-algebra #modules #krull-dimension #local-cohomology #local-rings
194
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Is the converse of Proposition 3.5.4 (c) of Bruns_Herzog true?

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#commutative-algebra #homological-algebra #injective-module #local-cohomology #gorenstein
180
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Local cohomology killed by a power of I

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#commutative-algebra #local-cohomology
339
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definitions of $I$-torsion functor $\Gamma_I$

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#commutative-algebra #local-cohomology
116
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$\Gamma_I(E)$ is an injective $R$-module? $H^i_I(E)=0;\forall i\gt 0$

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#commutative-algebra #local-cohomology
183
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local cohomology and radical of ideal

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#commutative-algebra #local-cohomology
93
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cohomology ring of cross-section space of fibre-bundles

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#algebraic-topology #homology-cohomology #geometric-topology #sheaf-cohomology #local-cohomology
160
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The last nonzero local cohomology module is not finitely generated.

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#commutative-algebra #local-cohomology
112
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Cohomological dimension of an arbitrary module.

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#commutative-algebra #local-cohomology
142
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A basic question on local cohomology

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#algebraic-geometry #sheaf-theory #sheaf-cohomology #local-cohomology

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