The Analytic Classification of Plane Curves with Two Branches
arXiv:1208.3284 · doi:10.1007/s00209-014-1379-2
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.
12 pages, 1 table