Results 1 to 10 of about 5,347,584 (206)
Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension [PDF]
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 +2 more sources
Local Cohomology and Stratification [PDF]
Foundations of Computational Mathematics, 2017 We outline an algorithm to recover the canonical (or, coarsest) stratification of a given finite-dimensional regular CW complex into cohomology manifolds, each of which is a union of cells. The construction proceeds by iteratively localizing the poset of
Vidit Nanda
semanticscholar +6 more sources
Communications in Algebra, 2015 For a module having a complete injective resolution, we define a stable version of local cohomology. This gives a functor to the stable category of Gorenstein injective modules.
Peder Thompson
semanticscholar +4 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 Ȓ𝔞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \
S. Sather-Wagstaff, Richard Wicklein
semanticscholar +4 more sources
ON THE ASSOCIATED PRIMES OF LOCAL COHOMOLOGY [PDF]
Nagoya Mathematical Journal, 2016 Let $R$ be a commutative Noetherian ring of prime characteristic $p$ . In this paper, we give a short proof using filter regular sequences that the set of associated prime ideals of $H_{I}^{t}(R)$ is finite for any ideal $I$ and for any $t\geqslant 0 ...
Hailong Dao, Pham Hung Quy
semanticscholar +5 more sources
The support of local cohomology modules [PDF]
International Mathematics Research Notices, 2015 We describe the support of $F$-finite $F$-modules over polynomial rings $R$ of prime characteristic. Our description yields an algorithm to compute the support of such modules; the complexity of our algorithm is also analyzed.
Mordechai Katzman, Wenliang Zhang
semanticscholar +5 more sources
The local cohomology of the Jacobian ring [PDF]
Documenta Mathematica, 2013 We study the 0-th local cohomology module of the jacobian ring of a singular reduced complex projective hypersurface X, by relating it to the sheaf of logarithmic vector field along X.
E. Sernesi
semanticscholar +5 more sources
TOPOLOGY ON COHOMOLOGY OF LOCAL FIELDS [PDF]
Forum of Mathematics, Sigma, 2015 Arithmetic duality theorems over a local field $k$ are delicate to prove if $\text{char}\,k>0$. In this case, the proofs often exploit topologies carried by the cohomology groups $H^{n}(k,G)$ for commutative finite type $k$-group schemes $G$. These ‘Čech
KĘSTUTIS ČESNAVIČIUS
doaj +4 more sources
Local Cohomology Annihilators and Macaulayfication [PDF]
Acta Mathematica Vietnamica, 2013 The aim of this paper is to study a deep connection between local cohomology annihilators and Macaulayfication and arithmetic Macaulayfication over a local ring.
Nguyen Tu Cuong, D. T. Cuong
semanticscholar +4 more sources
GENERALIZED FORMAL LOCAL COHOMOLOGY MODULES [PDF]
Journal of Algebraic Systems, 2023 Let $a$ be an ideal of a local ring $(R, m)$ and $M$ and $N$ two finitely generated $R$-modules. In this paper, we introduce the concept of generalized formal local cohomology modules. We define $i$-th generalized formal local cohomology module of $M$
Shahram Rezaei, Fatemeh Lashkari
doaj +1 more source