The Gotzmann coefficients of Hilbert functions

DOI10.1016/j.jalgebra.2009.01.027zbMath1177.13034arXiv0809.3281OpenAlexW2962852725MaRDI QIDQ1028308

Yong Su Shin, Jeaman Ahn, Anthony V. Geramita

Publication date: 30 June 2009

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

Full work available at URL: https://arxiv.org/abs/0809.3281

zbMATH Keywords

Hilbert functionsHilbert polynomialsuniform position propertyGotzmann coefficientsGotzmann numbersintegral subschemes

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (1)

Green's theorem and Gorenstein sequences

Cites Work

• Deformation classes of graded modules and maximal Betti numbers
• Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
• Hilbert functions of graded algebras
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• The Hilbert function of generic plane sections of curves of \({\mathbb P}^ 3\)
• Hyperplane sections of a smooth curve in P³
• Geometric Consequences of Extremal Behavior in a Theorem of Macaulay
• LEX-SEGMENT IDEALS AND THE MAXIMAL GROWTH OF HILBERT FUNCTIONS
• GOTZMANN NUMBERS OF GRADEDk-ALGEBRAS AND BETTI NUMBERS OF THE ASSOCIATED LEX-SEGMENT IDEAL
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with a given hilbert function
• Note on the Intersection of an Algebraic Variety with the Generic Hyperplane
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