Low-codimensional associated primes of graded components of local cohomology modules

DOI10.1016/J.JALGEBRA.2003.12.003zbMath1086.13006OpenAlexW1985302567MaRDI QIDQ1883045

Yanyan Li

Publication date: 1 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.12.003

zbMATH Keywords

homogeneous noetherian ring

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45)

Related Items (11)

Hilbert-Samuel coefficients and postulation numbers of graded components of certain local cohomology modules ⋮ On Hilbert-Samuel coefficients of graded local cohomology modules ⋮ Asymptotic associate primes ⋮ A cohomological stability result for projective schemes over surfaces ⋮ Some properties of graded local cohomology modules ⋮ Multiplicities of graded components of local cohomology modules ⋮ On the asymptotic behaviour of associated primes of generalized local cohomology modules ⋮ Local cohomology modules with respect to an ideal containing the irrelevant ideal ⋮ Asymptotic Behaviour and Artinian Property of Graded Local Cohomology Modules ⋮ Artinian graded generalized local cohomology ⋮ Unnamed Item

Cites Work

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• Graded local cohomology modules and their associated primes: The Cohen-Macaulay case
• \(p\)-torsion elements in local cohomology modules
• Cohomological patterns of coherent sheaves over projective schemes
• An example of an infinite set of associated primes of a local cohomology module
• Cofiniteness and associated primes of local cohomology modules.
• Some properties of top graded local cohomology modules.
• Associated primes of graded components of local cohomology modules
• Graded Local Cohomology Modules and Their Associated Primes
• Local cohomology over homogeneous rings with one-dimensional local base ring
• The associated primes of local cohomology modules over rings of small dimension

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