11 citations · 30 across the 14 of their papers we have counts for
15 papers
On the Saito number of plane curves
Yohann Genzmer, Marcelo E. Hernandes
In this work we study the \emph{Saito number} of a plane curve and we present a method to determine the minimal Saito number for plane curves in a given equisingularity class, that…
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…
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…
Number of moduli for an union of smooth curves in (C^2,0)
Yohann Genzmer
Abstract. In this article, we provide an algorithm to compute the number of moduli of a germ of curve which is an union of germs of smooth curves in the complex plane.
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…
On the Saito's basis and the Tjurina Number for Plane Branches
Marcelo E. Hernandes, Yohann Genzmer
We introduce the concept of good Saito's basis for a plane curve and we explore it to obtain a formula for the minimal Tjurina number in a topological class. In particular, we…