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math.AG2024
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…
math.AG2021
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.
math.AG2019★ 4 cited
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…