NORMAL HILBERT FUNCTIONS OF ONE-DIMENSIONAL LOCAL RINGS

DOI10.1081/AGB-100000804zbMath1024.13005OpenAlexW2052172266MaRDI QIDQ2749099

Ralf Fröberg, Valentina Barucci, Marco D'Anna

Publication date: 30 November 2003

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

Full work available at URL: https://doi.org/10.1081/agb-100000804

zbMATH Keywords

associated graded ringHilbert seriesfinite integral closure

Mathematics Subject Classification ID

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)

Cites Work

• Hilbert functions and symbolic powers
• Integral closures of ideals generated by regular sequences
• Coefficients of normal Hilbert polynomials
• Hilbert coefficients of Hilbert filtrations
• Analytically unramified one-dimensional semilocal rings and their value semigroups
• Stable Ideals and Arf Rings

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