Results 141 to 150 of about 5,350,013 (268)

Local Cohomology: Combinatorics and D-Modules [PDF]

, 2018
In this thesis, we study combinatorial and D-module theoretic aspects of local cohomology. Viewing local cohomology from the point of view of A-hypergeometric systems, the quasidegree set of the non-top local cohomology modules supported at the maximal ...
Barrera III, Roberto
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COFINITENESS AND ARTINIANNESS OF GENERALIZED LOCAL COHOMOLOGY MODULES

Romanian Journal of Mathematics and Computer Science, 2015
Let R be a commutative Noetherian ring, a and b ideals of R and let M and N be two finitely generated R-modules. In this paper, we study the cofiniteness of H_b^j(H_a^i(M, N)) in several cases.
FATEMEH DEHGHANI-ZADEH
doaj  

Maps on the Mirror Heisenberg–Virasoro Algebra

Mathematics
Using the first cohomology from the mirror Heisenberg–Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg–Virasoro algebra module), in this paper, we determined the derivations on the mirror Heisenberg–Virasoro algebra.
Xuelian Guo, Ivan Kaygorodov, Liming Tang   +2 more
doaj   +1 more source

Some Properties of Serre Subcategories in the Graded Local Cohomology Modules

Journal of Mathematics, 2017
Let R=⊕n≥0Rn be a standard homogeneous Noetherian ring with local base ring (R0,m0) and let M be a finitely generated graded R-module. Let HR+i(M) be the ith local cohomology module of M with respect to R+=⊕n>0Rn.
Feysal Hassani, Rasul Rasuli
doaj   +1 more source

Local cohomology under small perturbations

, 2022
Let $(R,\mathfrak{m})$ be a Noetherian local ring and $I$ an ideal of $R$. We study how local cohomology modules with support in $\mathfrak{m}$ change for small perturbations $J$ of $I$, that is, for ideals $J$ such that $I\equiv J\bmod \mathfrak{m}^N ...
Duarte, Luís
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Off-shell fields and conserved currents

Physics Letters B
We study interactions of higher-spin massless fields φ with conserved currents multilinear in the off-shell matter fields ϕ. Specifically, we focus on the 3d case where a slight modification of the σ−-cohomology technique developed earlier is directly ...
E.O. Spirin, M.A. Vasiliev
doaj   +1 more source

Local Cohomology of Analytic Spaces

Publications of the Research Institute for Mathematical Sciences, 1976
The purpose of this paper is to show that the local cohomology of a complex analytic space embedded in a complex manifold is a holonomic system of linear differential equations of infinite order and its holomorphic solution sheaves are a resolution of the constant sheaf \boldsymbol C
openaire   +2 more sources

Hodge–Lyubeznik numbers

Comptes Rendus. Mathématique
We define a Hodge-theoretical refinement of the Lyubeznik numbers for local rings of complex algebraic varieties. We prove that these numbers are independent of the choices made in their definition and that, for the local ring of an isolated singularity,
García López, Ricardo, Sabbah, Claude
doaj   +1 more source

Local cohomology in classical rings

, 2021
The aim of this paper is to stablish the close connection between prime ideals and torsion theories in anon necessarily commutative noetherian ring. We introduce a new definition of support of a module and characterize some kinds of torsion theories in ...
Bueso, J. L., Jara, P.
core  

Some problems in algebraic topology: systems of higher order cohomology operations in the p-torsion-free category

, 1979
In this thesis, we establish a pair of systems of higher order cohomology operations that act on the Ζp-ordinary cohomology of spaces that are free of p-torsion.
Holtzman, D. N.
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