11 citations · 30 across the 14 of their papers we have counts for
4 papers · 1 filter
On the algebraicity of germs of meromorphic functions
Yohann Genzmer, Rogério Mol
In this article we prove that every germ of analytic meromorphic function at is equivalent, under the right composition by a germ of biholomorphism, to a germ…
The Saito module and the moduli of a germ of curve in
Yohann Genzmer
We study properties of the module of vector fields tangent to a given germ of curve in the complex plane . As a consequence, we obtain a conjectural algorithm to co…
Classification of absolutely dicritical foliations of cusp type
Yohann Genzmer
We give a classification of absolutely dicritical foliations of cusp type, that is, the germ of singularities of complex foliations in the complex plane topologically equivalent to…
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…