2 citations · 2 across the 4 of their papers we have counts for
4 papers
Normal forms of foliations and curves defined by a function with a generic tangent cone
Yohann Genzmer, Emmanuel Paul
We first describe the local and global moduli spaces of germs of foliations defined by analytic functions in two variables with p transverse smooth branches, and with integral mult…
Analytical and formal classifications of quasi-homogeneous foliations in (C^2,0)
Y. Genzmer
We prove a result of classification for germs of formal and convergent quasi-homogeneous foliations in C^2 with fixed separatrix. Basically, we prove that the analytical and formal…
Rigidity for dicritical germ of foliation in the complex plane
Y. Genzmer
We study some kind of rigidity property for dicritical foliation in the complex plane. In fact, we prove that for a generic dicritical foliation, there exists deformations of the r…
Construction of foliations with prescribed separatrix
Y. Genzmer
We build a germ of singular foliation in dimension two with analytical class of separatrix and holonomy representations prescribed. Thanks to this construction, we study the link b…