Maximal Hilbert functions

DOI10.1007/BF03322678zbMath0994.13007OpenAlexW2025209298MaRDI QIDQ5937368

Vasconcelos, Wolmer V., Giuseppe Valla, Maria Evelina Rossi

Publication date: 16 June 2002

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322678

zbMATH Keywords

Hilbert polynomialassociated graded ringArtinian ringsPoincaré-Hilbert series

Mathematics Subject Classification ID

Applications of graph theory (05C90) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Principal ideal rings (13F10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (8)

Castelnuovo-Mumford regularity and extended degree ⋮ Upper bounds of Hilbert coefficients and Hilbert functions ⋮ Finiteness of Hilbert functions and bounds for Castelnuovo-Mumford regularity of initial ideals ⋮ Borel-fixed ideals and reduction number. ⋮ Bounding the first Hilbert coefficient ⋮ On the first normalized Hilbert coefficient ⋮ Reduction numbers of ideals ⋮ The Joint Reduction Number and Upper Bounds of Hilbert Series of Fiber Cones

Cites Work

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• Rigid Hilbert functions
• Prestable ideals
• Hilbert functions and Sally modules
• Hilbert functions, Castelnuovo-Mumford regularity and uniform Artin-Rees numbers
• On the coefficients of the Hilbert polynomial
• A Note on the Coefficients of the Hilbert-Samuel Polynomial for a Cohen-Macaulay Module
• The homological degree of a module
• Cohomological degrees and Hilbert functions of graded modules
• Hilbert Coefficients and the Depths of Associated Graded Rings
• On the monotonicity of the hilbert function of the sally module

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