On the Chern number of \(I\)-admissible filtrations of ideals

DOI10.1216/JCA-2012-4-4-577zbMath1274.13033arXiv1205.0390MaRDI QIDQ1947254

Mousumi Mandal, Jugal Kishore Verma

Publication date: 22 April 2013

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

Full work available at URL: https://arxiv.org/abs/1205.0390

zbMATH Keywords

Chern numberHilbert functionHilbert polynomialHilbert coefficientfiltration of idealsadmissible filtration

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) 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 (1)

On the Vanishing of the normal Hilbert coefficients of ideals

Cites Work

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• The Chern coefficients of local rings
• The signature of the Chern coefficients of local rings
• Hilbert functions and symbolic powers
• Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals
• The Coefficients of the Hilbert Polynomial and the Reduction Number of an Ideal
• Hilbert Coefficients and the Depths of Associated Graded Rings
• A 𝑑-dimensional extension of a lemma of Huneke’s and formulas for the Hilbert coefficients
• The positivity of the first coefficients of normal Hilbert polynomials
• Stable Ideals and Arf Rings
• A Note on Analytically Unramified Local Rings

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