Reduction numbers and Hilbert polynomials of ideals in higher dimensional CohenMacaulay local rings

DOI10.1017/S0305004100075149zbMath0758.13012OpenAlexW2121157336MaRDI QIDQ3994046

Yinghwa Wu

Publication date: 13 August 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100075149

zbMATH Keywords

Cohen-Macaulay local ringHilbert polynomialreduction of idealindependent reduction number

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Cohen-Macaulay modules (13C14)

Related Items (7)

Castelnuovo-Mumford regularity, postulation numbers, and reduction numbers ⋮ Bounds for the postulation numbers of Hilbert functions ⋮ A 𝑑-dimensional extension of a lemma of Huneke’s and formulas for the Hilbert coefficients ⋮ A note on reduction numbers and Hilbert--Samuel functions of ideals over Cohen--Macaulay rings ⋮ On the Hilbert coefficients, depth of associated graded rings and reduction numbers ⋮ On the Depth of the Associated Graded Ring ⋮ Results on the Hilbert coefficients and reduction numbers

Cites Work

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• Asymptotic prime divisors
• Cohen-Macaulay local rings of embedding dimension e+d-2
• Reduction numbers for ideals of analytic spread one
• Hilbert functions and symbolic powers
• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
• Form rings and regular sequences
• Stretched Gorenstein Rings
• The Coefficients of the Hilbert Polynomial and the Reduction Number of an Ideal
• A Note on the Coefficients of the Abstract Hilbert Function

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