Local Cohomology of Rees Algebras and Hilbert Functions

DOI10.2307/2160602zbMath0830.13013OpenAlexW4253132028MaRDI QIDQ4318366

Bernhard Johnston, Jugal Kishore Verma

Publication date: 6 February 1996

Full work available at URL: https://doi.org/10.2307/2160602

zbMATH Keywords

Hilbert functionHilbert polynomialRees ringlocal Noetherian ring

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 (9)

Castelnuovo-Mumford regularity, postulation numbers, and reduction numbers ⋮ On Hilbert functions and cohomology ⋮ Ratliff-Rush filtration, regularity and depth of higher associated graded modules. I ⋮ A Riemann-Roch formula for the blow-up of a nonsingular affine scheme ⋮ Hilbert functions, Castelnuovo-Mumford regularity and uniform Artin-Rees numbers ⋮ Variations on the Grothendieck–Serre Formula for Hilbert Functions and Their Applications ⋮ Bockstein cohomology of associated graded rings ⋮ Hilbert polynomials of multigraded filtrations of ideals ⋮ Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras.

Cites Work

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• Polynôme d'Hilbert-Samuel des clôtures intégrales des puissances d'un idéal m-primaire
• Reduction numbers for ideals of higher analytic spread
• Hilbert Functions and the Koszul Complex
• The Coefficients of the Hilbert Polynomial and the Reduction Number of an Ideal

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