On Hilbert-Samuel coefficients of graded local cohomology modules

DOI10.1007/s10468-022-10178-7MaRDI QIDQ6187531

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Publication date: 15 January 2024

Published in: Algebras and Representation Theory (Search for Journal in Brave)

zbMATH Keywords

asymptoticHilbert polynomiallocal cohomology modulesHilbert-Samuel multiplicity

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Local cohomology and commutative rings (13D45)

Cites Work

• Castelnuovo-Mumford regularity, postulation numbers and relation types
• On some conjectures about the Chern numbers of filtrations
• Baire's category theorem and prime avoidance in complete local rings
• An avoidance principle with an application to the asymptotic behaviour of graded local cohomology
• Hilbert functions of filtered modules
• Failure of tameness for local cohomology
• Cohomological patterns of coherent sheaves over projective schemes
• Some properties of graded local cohomology modules
• Multiplicities of graded components of local cohomology modules
• Low-codimensional associated primes of graded components of local cohomology modules
• Hilbert-Samuel coefficients and postulation numbers of graded components of certain local cohomology modules
• Artinianess of graded local cohomology modules
• The Reduction Number of an Ideal and the Local Cohomology of the Associated Graded Ring
• Local cohomology over homogeneous rings with one-dimensional local base ring
• ARTINIAN MODULES AND HILBERT POLYNOMIALS
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