An algorithm for computing the Arf closure of an algebroid curve with more than one branch

2018/05/25 by Maugeri, Nicola, Zito, Giuseppe
#13A18 #14H20 #20-04 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.10067

Abstract

In this paper, we give a fast algorithm for the computation of the Arf closure of an algebroid curve with more than one branch, generalizing an algorithm presented by Arslan and Sahin for the algebroid branch case.

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• Arf characters of an algebroid curve
• Irreducibility criterion for algebroid curves
• Arf Rings and Characters
• The Semiring of Values of an Algebroid Curve
• Computing branches and asymptotes of meromorphic functions