5 papers
On the Zariski invariant of plane branches
Marcelo Escudeiro Hernandes, Mauro Fernando Hernández Iglesias
We show how to obtain the Zariski invariant of a plane branch employing the contact order or the intersection multiplicity with elements in a particular family of curves and we pre…
On characterizations of nondicritical generalized curve foliations
Evelia R. García Barroso, Marcelo E. Hernandes, M. Fernando Hernández Iglesias
We characterize nondicrital generalized curve foliations with fixed reduced separatrix. Moreover, we give suficient conditions when a plane analytic curve is its reduced separatrix…
Topological type of discriminants of some special families
Evelia R. García Barroso, M. Fernando Hernández Iglesias
We will describe the topological type of the discriminant curve of the morphism , where is a smooth curve and is an irreducible curve (branch) of multiplicity…
On the factorization of the polar of a plane branch
Abramo Hefez, Marcelo Escudeiro Hernandes, Mauro Fernando Hernándes Iglesias
In this paper we present the most complete description as possible of the factorization of the general polar of the general member of an equisingularity class of irreducible germs…
On Polars of Plane Branches
A. Hefez, M. E. Hernandes, M. F. H. Iglesias
It is well known that the equisingularity class of the general polar of a plane branch is not the same for all branches in a given equisingularity class, but it is the same for suf…