Some properties of graded local cohomology modules

DOI10.1016/j.jalgebra.2004.07.034zbMath1105.13021OpenAlexW2026353970MaRDI QIDQ1770499

Christel Rotthaus, Liana M. Şega

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.07.034

zbMATH Keywords

Cohen-Macaulay modulesgraded commutative noetherian rings

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Cohen-Macaulay modules (13C14)

Related Items (20)

On the Artinianness of Graded Local Cohomology Modules ⋮ Graded Local Cohomology: Attached and Associated Primes, Asymptotic Behaviors ⋮ Duality and tameness ⋮ Unnamed Item ⋮ On the support of local cohomology ⋮ Hilbert-Kirby polynomials in generalized local cohomology modules ⋮ Graded components of local cohomology modules. II ⋮ A Problem of Local Cohomology Modules ⋮ On Hilbert-Samuel coefficients of graded local cohomology modules ⋮ Finiteness of graded generalized local cohomology modules ⋮ Finiteness of graded local cohomology modules ⋮ The local cohomology of a parameter ideal with respect to an arbitrary ideal ⋮ Relative Cohen-Macaulayness of bigraded modules ⋮ Finiteness properties and numerical behavior of local cohomology ⋮ Multiplicities of graded components of local cohomology modules ⋮ Failure of tameness for local cohomology ⋮ Upper and Lower Bounds for Finiteness of Graded Local Cohomology Modules ⋮ A note on graded generalized local cohomology modules ⋮ Unnamed Item ⋮ Artinianess of graded local cohomology modules

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
• Some properties of top graded local cohomology modules.
• Low-codimensional associated primes of graded components of local cohomology modules
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Open loci of graded modules
• On asymptotic stability for sets of prime ideals connected with the powers of an ideal
• A finiteness result for associated primes of local cohomology modules
• ARTINIAN MODULES AND HILBERT POLYNOMIALS

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