Results 231 to 240 of about 5,350,013 (268)

Annihilators of local cohomology modules and simplicity of rings of differential operators

, 2015
One classical topic in the study of local cohomology is whether the non-vanishing of a specific local cohomology module is equivalent to the vanishing of its annihilator; this has been studied by several authors, including Huneke, Koh, Lyubeznik and ...
Alberto F. Boix, M. Eghbali
semanticscholar   +1 more source

LOCAL COHOMOLOGY AND THE VARIATIONAL BICOMPLEX

International Journal of Geometric Methods in Modern Physics, 2008
The differential forms on the jet bundle J∞E of a bundle E → M over a compact n-manifold M of degree greater than n determine differential forms on the space Γ(E) of sections of E. The forms obtained in this way are called local forms on Γ(E), and its cohomology is called the local cohomology of Γ(E).
openaire   +2 more sources

Top Local Cohomology Modules

Algebra Colloquium, 2007
For a finitely generated module M over a commutative Noetherian local ring (R,𝔪), it is shown that there exist only a finite number of non-isomorphic top local cohomology modules [Formula: see text] for all ideals 𝔞 of R. It is also shown that for a given integer r ≥ 0, if [Formula: see text] is zero for all 𝔭 in Supp (M), then [Formula: see text] for
Dibaei, Mohammad T., Yassemi, Siamak
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Noetherianness and Local Cohomology Modules

Algebra Colloquium, 2012
Let R be a commutative Noetherian ring, 𝔞 an ideal of R, and M an R-module. We show that, whenever [Formula: see text], M is Noetherian if and only if there exists a submodule N of M such that the R-modules M/𝔞 N and [Formula: see text] are Noetherian.
openaire   +1 more source

Support of local cohomology modules over hypersurfaces and rings with FFRT

, 2017
M. Hochster, L. Núñez-Betancourt
semanticscholar   +1 more source

On the cominimaxness of local cohomology modules

Let \(R\) be a commutative Noetherian ring with identity, \(I\) an ideal of \(R\), and \(M\) an \(R\)-module. This paper investigates the finiteness properties of the local cohomology modules \[ \text{H}^i_I(M)= \underset{n \in \mathbb{N}_0}{\varinjlim}\ \text{Ext}_R^i(R/I^n,M), \ i\geq 0. \] \textit{K. Bahmanpour} [Collect. Math. 72, No.
Azami, Jafar, Ghasemi, Ghader
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A Note on Local Cohomology

Journal of the London Mathematical Society, 1975
openaire   +1 more source

Local Cohomology and Local Homology

, 2018
P. Schenzel, Anne-Marie Simon
semanticscholar   +1 more source

Minimax modules, local homology and local cohomology

, 2015
T. Nam
semanticscholar   +1 more source

Finiteness properties of local cohomology modules (an application ofD-modules to commutative algebra)

Inventiones Mathematicae, 1993
Gennady Lyubeznik, Lyubeznik Gennady
exaly