Results 41 to 50 of about 5,350,013 (268)

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

Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals [PDF]

Journal of symbolic computation, 2015
A computation method of algebraic local cohomology classes, associated with zero-dimensional ideals with parameters, is introduced. This computation method gives us in particular a decomposition of the parameter space depending on the structure of ...
Katsusuke Nabeshima, S. Tajima
semanticscholar   +1 more source

On the endomorphism ring and Cohen-Macaulayness of local cohomology defined by a pair of ideals [PDF]

, 2019
summary:Let $\mathfrak {a}$, $I$, $J$ be ideals of a Noetherian local ring $(R,\mathfrak {m},k)$. Let $M$ and $N$ be finitely generated $R$-modules. We give a generalized version of the Duality Theorem for Cohen-Macaulay rings using local cohomology ...
Jorge Pérez, Victor H., Freitas, Thiago H.   +1 more
core   +3 more sources

Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I

Journal of High Energy Physics, 2023
We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d N $$ \mathcal{N} $$ =2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a ...
Philip C. Argyres, Matteo Lotito, Mitch Weaver   +2 more
doaj   +1 more source

Local Cohomology and Base Change [PDF]

, 2016
Let $X \overset{f}\longrightarrow S$ be a morphism of Noetherian schemes, with $S$ reduced. For any closed subscheme $Z$ of $X$ finite over $S$, let $j$ denote the open immersion $X\setminus Z \hookrightarrow X$.
Karen E. Smith
semanticscholar   +1 more source

Local cohomology with support in ideals of symmetric minors and Pfaffians [PDF]

Journal of the London Mathematical Society, 2015
We compute the local cohomology modules HY•(X,OX) in the case when X is the complex vector space of n×n symmetric (respectively, skew‐symmetric matrices) and Y is the closure of the GL ‐orbit consisting of matrices of any fixed rank, for the natural ...
Claudiu Raicu, J. Weyman
semanticscholar   +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

A new description of equivariant cohomology for totally disconnected groups [PDF]

, 2008
We consider smooth actions of totally disconnected groups on simplicial complexes and compare different equivariant cohomology groups associated to such actions.
Voigt, C.
core   +1 more source

UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES [PDF]

Journal of Algebraic Systems, 2013
Let $R$ be a commutative Noetherian ring with non-zero identity and $fa$ an ideal of $R$. Let $M$ be a finite $R$--module of finite projective dimension and $N$ an arbitrary finite $R$--module.
Moharram Aghapournahr
doaj   +1 more source

Degree bounds for local cohomology [PDF]

Proceedings of the London Mathematical Society, 2015
It has long been known how to read information about the socle degrees of the local cohomology Hm0(M) of a graded module over a polynomial ring R from the twists in position d=dimR , in a resolution of M by free R ‐modules.
A. Kustin, C. Polini, B. Ulrich
semanticscholar   +1 more source