Multiplicities of graded components of local cohomology modules

DOI10.1016/J.JPAA.2004.08.034zbMath1071.13005OpenAlexW2028436124MaRDI QIDQ1772257

Reza Sazeedeh, Fred Rohrer, Markus P. Brodmann

Publication date: 18 April 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.08.034

zbMATH Keywords

cohomological dimensiongraded moduleslocal cohomologyHilbert-Samuel multiplicityantipolynomial functionhomogeneous rings

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Local cohomology and commutative rings (13D45) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (11)

Graded Local Cohomology: Attached and Associated Primes, Asymptotic Behaviors ⋮ Hilbert-Kirby polynomials in generalized local cohomology modules ⋮ An avoidance principle with an application to the asymptotic behaviour of graded local cohomology ⋮ On Hilbert-Samuel coefficients of graded local cohomology modules ⋮ Finiteness of graded local cohomology modules ⋮ Artinianness of local cohomology modules ⋮ Local cohomology modules with respect to an ideal containing the irrelevant ideal ⋮ Asymptotic depth of twisted higher direct image sheaves ⋮ Upper and Lower Bounds for Finiteness of Graded Local Cohomology Modules ⋮ Asymptotic Behaviour and Artinian Property of Graded Local Cohomology Modules ⋮ Artinianess of graded local cohomology modules

Cites Work

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• Baire's category theorem and prime avoidance in complete local rings
• Bounds for cohomological deficiency functions of projective schemes over Artinian rings
• Cohomological patterns of coherent sheaves over projective schemes
• Some properties of graded local cohomology modules
• Some properties of top graded local cohomology modules.
• Low-codimensional associated primes of graded components of local cohomology modules
• Associated primes of graded components of local cohomology modules
• Hilbert-Samuel coefficients and postulation numbers of graded components of certain local cohomology modules
• Local cohomology over homogeneous rings with one-dimensional local base ring
• ARTINIAN MODULES AND HILBERT POLYNOMIALS

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