The positivity of the first coefficients of normal Hilbert polynomials

DOI10.1090/S0002-9939-2010-10710-4zbMath1230.13020OpenAlexW2055856222MaRDI QIDQ5200164

Mousumi Mandal, Jooyoun Hong, Shiro Goto

Publication date: 1 August 2011

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10710-4

zbMATH Keywords

integral closure of idealscoefficients of the normal Hilbert polynomialnormal Hilbert function

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (3)

On the nonnegativity of normal Hilbert coefficients of two ideals ⋮ On the Chern number of \(I\)-admissible filtrations of ideals ⋮ Variation of Hilbert coefficients

Cites Work

• On some conjectures about the Chern numbers of filtrations
• Normalization of ideals and Briançon-Skoda numbers
• The Chern coefficients of local rings
• Sur la fonction de Hilbert-Samuel des clôtures intégrales des puissances d'idéaux engendrés par un système de paramètres. (On the Hilbert-Samuel function of the integral closure of powers of ideals generated by a system of parameters)
• Integral closedness of complete-intersection ideals
• Specialization and integral closure
• Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals
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