Hilbert coefficients of Hilbert filtrations

DOI10.1006/jabr.1997.7194zbMath0899.13017OpenAlexW2007947254MaRDI QIDQ1379060

Anna Guerrieri, Maria Evelina Rossi

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7194

zbMATH Keywords

Hilbert functionHilbert seriesHilbert coefficientsHilbert filtration

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (26)

Generalized Hilbert coefficients and Northcott's inequality ⋮ On the Chern number of a filtration ⋮ Ratliff-Rush filtration, regularity and depth of higher associated graded modules. II. ⋮ Bounds for the reduction number of primary ideal in dimension three ⋮ Ratliff-Rush filtration, Hilbert coefficients and reduction number of integrally closed ideals ⋮ Variations on the Grothendieck–Serre Formula for Hilbert Functions and Their Applications ⋮ The equality of Elias-Valla and the associated graded ring of maximal ideals ⋮ A filtration of the Sally module and the first normal Hilbert coefficient ⋮ On Hilbert coefficients of filtrations ⋮ On Fiber Coefficients of Fiber Cones^† ⋮ On the Hilbert coefficients, depth of associated graded rings and reduction numbers ⋮ NORMAL HILBERT FUNCTIONS OF ONE-DIMENSIONAL LOCAL RINGS ⋮ Depth of fiber cones of ideals with almost minimal mixed multiplicity ⋮ On the associated graded rings of ideals of reduction number 2 ⋮ Integrally closed and componentwise linear ideals ⋮ Graded rings associated with contracted ideals ⋮ Results on the Hilbert coefficients and reduction numbers ⋮ Bounds on the normal Hilbert coefficients ⋮ The second Hilbert coefficient of modules with almost maximal depth ⋮ On Homogeneous Prime Spectra of Certain Rees Rings ⋮ An Upper Bound on the Reduction Number of an Ideal ⋮ Estimates on the depth of the associated graded ring ⋮ THE STRUCTURE OF THE SALLY MODULE OF INTEGRALLY CLOSED IDEALS ⋮ The Hilbert function of the Ratliff-Rush filtration. ⋮ Depth of associated graded rings via Hilbert coefficients of ideals ⋮ The structure of sally modules and Buchsbaumness of associated graded rings

Cites Work

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• When is the Rees algebra Gorenstein?
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• A note on the cohen-macaulayness of rees algebras of filtrations
• Form rings and regular sequences
• 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
• A conjecture of j. sally
• Hilbert Coefficients and the Depths of Associated Graded Rings
• Local Rings of High Embedding Dimension
• A Note on the Coefficients of the Abstract Hilbert Function

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