Results 31 to 40 of about 5,877,529 (225)

On the annihilators of generalized local cohomology modules [PDF]

Journal of Mahani Mathematical Research
Let ${\frak{a}}$ be an ideal of Noetherian  ring $R$ and $M$, $N$ be two finitely generated  $R$-modules. In this paper, we obtain some results about  the annihilators of  top generalized local cohomology modules.
Shahram Rezaei
doaj   +1 more source

Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension

Forum of Mathematics, Pi, 2022
We study the Hodge filtration on the local cohomology sheaves of a smooth complex algebraic variety along a closed subscheme Z in terms of log resolutions and derive applications regarding the local cohomological dimension, the Du Bois complex, local ...
Mircea Mustaţă, Mihnea Popa
doaj   +1 more source

Locally constant cohomology [PDF]

Transactions of the American Mathematical Society, 1992
In this paper we study locally constant cohomology theories on a space X X .
openaire   +2 more sources

On Finiteness Properties of Local Cohomology Modules [PDF]

, 2022
openThis thesis has its foundations in the fields of homological and commutative algebra, in particular in the study of local cohomology. Local cohomology was introduced by Grothendieck in the early 1960s, in part to answer a conjecture of Pierre Samuel ...
SABATINI, ENRICO
core  

On Artinianness, annihilators and coassociated primes of formal local cohomology modules [PDF]

Journal of Mahani Mathematical Research
In this paper, we obtain some results concerning  vanishing, finiteness and artinianness of formal local cohomology modules. Also, we determine annihilators,  cosupport and the set of coassociated primes of these modules in some special cases.
Shahram Rezaei, Rezvan Darbandi
doaj   +1 more source

Exactly solvable lattice Hamiltonians and gravitational anomalies

SciPost Physics, 2023
We construct infinitely many new exactly solvable local commuting projector lattice Hamiltonian models for general bosonic beyond group cohomology invertible topological phases of order two and four in any spacetime dimensions, whose boundaries are ...
Yu-An Chen, Po-Shen Hsin
doaj   +1 more source

Stable local cohomology [PDF]

Communications in Algebra, 2016
Let $R$ be a Gorenstein local ring, $\frak{a}$ an ideal in $R$, and $M$ an $R$-module. The local cohomology of $M$ supported at $\frak{a}$ can be computed by applying the $\frak{a}$-torsion functor to an injective resolution of $M$. Since $R$ is Gorenstein, $M$ has a complete injective resolution, so it is natural to ask what one gets by applying the $\
openaire   +2 more sources

Extended Local Cohomology and Local Homology [PDF]

Algebras and Representation Theory, 2016
We present an in-depth exploration of the module structures of local (co)homology modules (moreover, for complexes) over the completion $\widehat R^{\mathfrak a}$ of a commutative noetherian ring $R$ with respect to a proper ideal $\mathfrak a$. In particular, we extend Greenlees-May Duality and MGM Equivalence to track behavior over $\widehat R ...
Sather-Wagstaff, Sean, Wicklein, Richard
openaire   +3 more sources

Cyclic cohomology after the excision theorem of Cuntz and Quillen [PDF]

, 2013
The excision theorem of Cuntz and Quillen established the existence of a six term exact sequence in the bivariant periodic cyclic cohomology HP*(–,–) associated with an arbitrary algebra extension 0 ? S ? P ? Q ? 0.
Jacek Brodzki, Brodzki, Jacek
core   +1 more source

A Remark on Local Cohomology

Journal of Algebra, 1998
Let \(A\) be a commutative ring, \(M\) and \(A\)-module, \(\widetilde M\) the associated \({\mathcal O}_{\text{Spec}(A)}\)-module and \(I\) a finitely generated ideal of \(A\). The local cohomology groups \(H^n\) with respect to \(V(I) \subseteq \text{Spec}(A)\) are defined in the category of abelian sheaves. Using a generating set for \(I\) the author
Adolphson, Alan, Sperber, Steven
openaire   +2 more sources