3 papers
math.AG2025
On the Saito basis for plane curves
Emilio de Carvalho, Percy Fernández-Sánchez, Marcelo Escudeiro Hernandes
We present some results concerning the Saito module and the torsion submodule of an analytic plane curve, and we provide a method for computing them. Using this algorithm, we compu…
math.AG2024
The topology of the generic polar curve and the Zariski invariant for branches of genus one
Evelia R. García Barroso, Marcelo E. Hernandes, M. Fernando Hernández Iglesias
We study, for plane complex branches of genus one, the topological type of its generic polar curve, as a function of the semigroup of values and the Zariski invariant of the branch…
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…