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arXiv · 1208.3284

The Analytic Classification of Plane Curves with Two Branches

Abramo Hefez·Marcelo Escudeiro Hernandes·Maria Elenice Rodrigues Hernandes
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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 Kähler differentials on the curve.

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Abramo Hefez, Marcelo Escudeiro Hernandes, Maria Elenice Rodrigues Hernandes. 2012-08-16. The Analytic Classification of Plane Curves with Two Branches. https://doi.org/10.1007/s00209-014-1379-2

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