Arf Rings and Characters

1996/04/11 by Sinan Sertöz, Sertoz, Sinan
Mathematics · #13H #14H20 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.alg-geom/9604009

openalex publication_date 1996/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Algebraic curve branches can be classified according to their multiplicity sequences. Arf's solution to this problem using Arf closures and possible implementations of Henselization are discussed.

Citations

• On the structure and ideal theory of complete local rings

Related

• Arf characters of an algebroid curve
• An algorithm for computing the Arf closure of an algebroid curve with more than one branch
• Multiplicity of Invariant Algebraic Curves and Darboux Integrability
• Generalized Arf invariants in algebraic L-theory
• Une remarque sur l'invariant de Arf