A fast algorithm for constructing Arf closure and a conjecture

DOI10.1016/j.jalgebra.2014.06.023zbMath1298.14031OpenAlexW2004488515WikidataQ123026124 ScholiaQ123026124MaRDI QIDQ404562

Nil Şahin, Feza Arslan

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.06.023

zbMATH Keywords

branchArf closureArf ringArf semigroup

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) Singularities of curves, local rings (14H20)

Related Items (4)

On the ubiquity of Arf rings ⋮ Decomposition of integrally closed ideals in Arf rings ⋮ Construction of strictly closed rings ⋮ An algorithm for computing the Arf closure of an algebroid curve with more than one branch

Uses Software

• SINGULAR

Cites Work

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• A relation between the sequence of multiplicities and the semigroup of values of an algebroid curve
• Algebroid curves in positive characteristic
• On the associated graded ring of a local Cohen-Macaulay ring
• Valuative Arf characteristic of singularities.
• Arf numerical semigroups.
• Algorithm for the semigroup of a space curve singularity
• On the parameters of algebraic-geometry codes related to Arf semigroups
• Arf Closure Relative to a Divisorial Valuation and Transversal Curves
• Arf Rings and Characters
• Improvements to Evaluation Codes and New Characterizations of Arf Semigroups
• SINGULAR
• Stable Ideals and Arf Rings
• Une Interprétation Algébrique de la Suite des Ordres de Multiplicité D'une Branche Algébrique
• Note on Cahit Arf's “Une interprétation Algébrique de la Suite des Ordres de Multiplicité D'une Branche Algébrique”^*
• On comparing two chains of numerical semigroups and detecting Arf semigroups

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