The Analytic Classification of Plane Curves with Two Branches
Algebraic Geometry
2016-01-28 v1
Abstract
In this paper we solve the problem of analytic classification of plane curves singularities with two branches by presenting their normal forms. This is accomplished by means of a new analytic invariant that relates vectors in the tangent space to the orbits under analytic equivalence in a given equisingularity class to K\"ahler differentials on the curve.
Keywords
Cite
@article{arxiv.1208.3284,
title = {The Analytic Classification of Plane Curves with Two Branches},
author = {Abramo Hefez and Marcelo Escudeiro Hernandes and Maria Elenice Rodrigues Hernandes},
journal= {arXiv preprint arXiv:1208.3284},
year = {2016}
}
Comments
12 pages, 1 table