One-dimensional local rings with reduced associated graded ring and their Hilbert functions

DOI10.1007/BF01299612zbMath0445.13008MaRDI QIDQ1145178

Ferruccio Orecchia

Publication date: 1980

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154735

zbMATH Keywords

associated graded ringdecreasing Hilbert functionone-dimensional reduced local ring

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Singularities of curves, local rings (14H20)

Related Items (18)

On pseudo symmetric monomial curves ⋮ Ordinary isolated singularities of algebraic varieties ⋮ On semigroup rings with decreasing Hilbert function ⋮ Inverse systems of zero-dimensional schemes in \(\mathbb P^n\) ⋮ On the Hilbert Function of Four-Generated Numerical Semigroup Rings ⋮ On the Hilbert function of the tangent cone of a monomial curve ⋮ On the Apéry sets of monomial curves ⋮ Genera of curve singularities ⋮ Minimally generating ideals defining certain tangent cones ⋮ The Hilbert function of a maximal Cohen-Macaulay module. II. ⋮ CM defect and Hilbert functions of monomial curves ⋮ One dimensional local rings of maximal and almost maximal length ⋮ Cartesian squares and ordinary singularities of curves ⋮ On certain classes of curve singulariries with reduced tangent cone ⋮ Monomial ideals with tiny squares ⋮ On the monotonicity of Hilbert functions ⋮ One dimensional cohen-macaulay rings with maximal hilbert function ⋮ Hilbert functions of Gorenstein monomial curves

Cites Work

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• On the Cohen-Macaulay type of s-lines in \(A^{n+1}\)
• A note on the Hilbertfunction of a one-dimensional Cohen-Macaulay ring
• Prestable ideals
• Stable rings
• Ordinary Singularities of Algebraic Curves
• Stable Ideals and Arf Rings

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