11 citations · 30 across the 14 of their papers we have counts for
8 papers · 1 filter
The Saito vector field of a germ of complex plane curve
Yohann Genzmer
In this article, we prove that an algorithm introduced by the author in a previous work and giving the generic dimension of the moduli space of a germ of curve in the complex plane…
Schlesinger foliation for deformations of foliations
Yohann Genzmer
In this article, we show that for any deformation of analytic foliations, there exists a maximal analytic singular foliation on the space of parameters along the leaves of which th…
Dimension of the moduli space of a curve in the complex plane
Yohann Genzmer
We give a formula to compute the dimension of the generic component of the moduli space of an irreducible germ of curve in the complex plane.
The Poincaré problem in the dicritical case
Yohann Genzmer, Rogério Mol
We develop a study on local polar invariants of planar complex analytic foliations at , which leads to the characterization of second type foliations and of gen…
Existence of non-algebraic singularities of differential equation
Yohann Genzmer, Loïc Teyssier
An algebraizable singularity is a germ of a singular holomorphic foliation which can be defined in some appropriate local chart by a differential equation with algebraic coefficien…
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…