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math.AGJul 30, 2007
53
citations (OpenAlex)
authors
  • Abramo Hefez
  • Marcelo E. Hernandes
institutions
  • Universidade Estadual de Maringá
  • Universidade Federal Fluminense
arXiv abstractPDF
paper

The Analytic Classification of Plane Branches

arXiv:0707.4502 · doi:10.1112/blms/bdq113

Abstract

In this paper we give a solution to Zariski's problem of analytic classification of plane branches.

19 pages, two tables

Cited by in corpus (9)

  • The Analytic Classification of Plane Curves with Two Branches
  • Analytic semiroots for plane branches and singular foliations
  • On the classification of quasi-homogeneous curves
  • Analytic Moduli of Plane Branches and Holomorphic Flows
  • Normal forms for hypersurface singularities
  • Non-degeneracy conditions for plane branches
  • Classification of Unimodal Parametric Plane Curve Singularities in Positive Characteristic
  • The Saito module and the moduli of a germ of curve in (C2,0)
  • Number of moduli for an union of smooth curves in (C^2,0)
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