On Hilbert functions and cohomology

DOI10.1006/jabr.1996.6937zbMath0884.13008OpenAlexW2015951200MaRDI QIDQ1359036

Cristina Blancafort

Publication date: 5 April 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6937

zbMATH Keywords

filtrationextended Rees algebraHilbert-Samuel polynomialHilbert-Samuel functionHilbert filtration

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (16)

Ratliff-Rush filtration, regularity and depth of higher associated graded modules. I ⋮ Regularity comparison of fiber cone and associated graded ring ⋮ The structure of Sally modules -- towards a theory of non-Cohen-Macaulay cases ⋮ Bounds for the reduction number of primary ideal in dimension three ⋮ Ratliff-Rush filtration, Hilbert coefficients and reduction number of integrally closed ideals ⋮ Coefficient modules and Ratliff-Rush closures^* ⋮ On the structure of the Sally module and the second normal Hilbert coefficient ⋮ Variations on the Grothendieck–Serre Formula for Hilbert Functions and Their Applications ⋮ Bounding Hilbert coefficients of parameter ideals ⋮ On Depth of Rees Modules and Hilbert Functions ⋮ Bockstein cohomology of associated graded rings ⋮ Bounds for Hilbert coefficients ⋮ Hilbert polynomials of multigraded filtrations of ideals ⋮ LOCAL COHOMOLOGY OF MULTI-REES ALGEBRAS, JOINT REDUCTION NUMBERS AND PRODUCT OF COMPLETE IDEALS ⋮ Castelnuovo-Mumford regularity and Hilbert coefficients of parameter ideals ⋮ Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras.

Cites Work

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• Ideals whose Hilbert function and Hilbert polynomial agree at \(n=1\)
• Hilbert Functions and the Koszul Complex
• A Note on the Coefficients of the Hilbert-Samuel Polynomial for a Cohen-Macaulay Module
• The ratliff-rush ideals in a noetherian ring
• The Reduction Number of an Ideal and the Local Cohomology of the Associated Graded Ring
• The Coefficients of the Hilbert Polynomial and the Reduction Number of an Ideal
• A note on analytic spread
• Reduction number and a-Invariant of good filtrations
• Local Cohomology of Rees Algebras and Hilbert Functions
• The Hilbert-Samuel Polynomial in a Filtered Module

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