List questions from local-cohomology

Published on 06 May 2026 - 13:49

130

Views

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

Published on 06 May 2026 - 13:06

197

Views

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

Published on 07 May 2026 - 12:50

134

Views

Vanishing of local cohomology and primary decomposition

Published on 06 May 2026 - 4:56

263

Views

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

Published on 14 Apr 2026 - 0:08

1.1k

Views

Koszul Homology vs Koszul Cohomology

Published on 07 May 2026 - 13:38

315

Views

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

Published on 06 May 2026 - 6:05

46

Views

Increasing the number of ideals in an exact sequence

Published on 06 May 2026 - 9:08

154

Views

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

Published on 06 May 2026 - 14:20

75

Views

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

Published on 10 May 2026 - 13:51

361

Views

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

Published on 10 May 2026 - 13:49

219

Views

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

Published on 06 May 2026 - 14:42

114

Views

Nonvanishing of local cohomology and associated primes

Published on 06 May 2026 - 14:23

126

Views

Twisted Cohomology of BO

Published on 06 May 2026 - 10:22

137

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 06 May 2026 - 14:20

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)$.

Trending Questions

Popular # Hahtags

Popular Questions