Some properties of top graded local cohomology modules.

DOI10.1016/S0021-8693(02)00567-7zbMath1044.13008arXivmath/0209350MaRDI QIDQ1867326

Rodney Y. Sharp, Mordechai Katzman

Publication date: 2 April 2003

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

Full work available at URL: https://arxiv.org/abs/math/0209350

zbMATH Keywords

associated prime idealgraded commutative Noetherian ringgraded local cohomology modulecohomological Hilbert functionmodule of inverse polynomials

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative Noetherian rings and modules (13E05) Graded rings (13A02) Local cohomology and commutative rings (13D45) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (9)

Low-codimensional associated primes of graded components of local cohomology modules ⋮ On the regularity of local cohomology of bigraded algebras ⋮ 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 ⋮ On finiteness properties of local cohomology modules over Cohen-Macaulay local rings ⋮ Upper and Lower Bounds for Finiteness of Graded Local Cohomology Modules ⋮ An example of an infinite set of associated primes of a local cohomology module ⋮ Artinianess of graded local cohomology modules

Cites Work

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• \(p\)-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
• Associated primes of graded components of local cohomology modules

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