On the Vanishing of the normal Hilbert coefficients of ideals

zbMath1452.13020arXiv1901.06310MaRDI QIDQ5131012

Vivek Mukundan, Kriti Goel, Jugal Kishore Verma

Publication date: 31 October 2020

Full work available at URL: https://arxiv.org/abs/1901.06310

zbMATH Keywords

Hilbert-Samuel functionsassociated graded rings of ideals

Mathematics Subject Classification ID

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 structure of the Sally module and the second normal Hilbert coefficient

Cites Work

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• Properties of Noetherian rings stable under general grade reduction
• Castelnuovo's regularity of graded rings and modules
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• Bounds on the normal Hilbert coefficients
• Specialization and integral closure
• The Coefficients of the Hilbert Polynomial and the Reduction Number of an Ideal
• Normal ideals in regular rings
• 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
• Monomial Ideals
• A Note on Analytically Unramified Local Rings

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