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15
314
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$I$-torsion functor and $\sqrt{I}$

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#abstract-algebra #ring-theory #commutative-algebra #modules #local-cohomology
102
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Local cohomology and primary decomposition

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#commutative-algebra #local-cohomology
72
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Show that $H_I^1(R)=0$ if and only if $I$ is not contained in an associated prime of any principal ideal.

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#commutative-algebra #local-cohomology
71
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$H^1_I(R) \cong S/R$ as $R$-modules.

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#commutative-algebra #local-cohomology
168
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On the natural isomorphism between $I$-torsion functor and direct limit of $\mathrm{Hom}$ functor

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#commutative-algebra #modules #homological-algebra #local-cohomology
150
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Grothendieck type vanishing result for Local Cohomology over not necessarily affine schemes?

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#algebraic-geometry #schemes #sheaf-cohomology #projective-schemes #local-cohomology
188
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Local cohomology as direct limit of Ext functors, for not necessarily affine schemes?

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#algebraic-geometry #commutative-algebra #homological-algebra #schemes #local-cohomology
282
Views

On local cohomology and canonical module

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#commutative-algebra #cohen-macaulay #local-cohomology
288
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Local Cohomology of a coherent sheaf can be calculated with restricting the sheaf to the support?

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#algebraic-geometry #homological-algebra #sheaf-theory #schemes #local-cohomology
150
Views

Local cohomology modules and direct limits

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#commutative-algebra #homological-algebra #local-cohomology
626
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Mayer-Vietoris sequence for local cohomology

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#commutative-algebra #homological-algebra #local-cohomology
219
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Proposition 3.5.1 in Bruns and Herzog, Cohen-Macaulay Rings

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#commutative-algebra #modules #local-cohomology
207
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Let $I= (X_1,X_2) \cap (X_3,X_4)$. Is $ara(I)≥3$? Is $ara(I)≥4$?

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#commutative-algebra #ideals #local-cohomology
159
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proving a property of Castelnuovo-Mumford regularity

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#commutative-algebra #local-cohomology
249
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Vanishing of local cohomology groups

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#algebraic-geometry #homology-cohomology #coherent-sheaves #local-cohomology

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