Moduli of plane curve singularities with C*-action
Let be an integral convex polygon. G. Mikhalkin introduced the notion ofHarnack curves, a class of real algebraic curves, defined by polynomials supported on and contained in the corresponding toric surface. He proved their existence, viaViro’s patchworkingmethod, and that the topological type of their real parts is unique (and determined by ). This paper is concerned with the description of the analogous statement in the case of a smoothing of a real plane branch . We introduce the class...