4 citations · 6 across the 6 of their papers we have counts for
8 papers · 1 filter
On the value set of -forms for plane branches
Marcelo Osnar Rodrigues de Abreu, Marcelo Escudeiro Hernandes
The value semigroup and the value set of -forms are, respectively, a topological and an analytical invariant of a plane branch. Giving a plane branch with…
On the Analytic Invariants and Semiroots of Plane Branches
Marcelo Osnar Rodrigues de Abreu, Marcelo Escudeiro Hernandes
The value semigroup of a -semiroot of a plane branch allow us to recover part of the value semigroup of , that is, it is related…
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…
Tjurina number of a local complete intersection curve
Abramo Hefez, Edison Marcavillaca Niño de Guzmán, Marcelo Escudeiro Hernandes +1
Differently from the Milnor number, no formula relating the Tjurina number of a reducible algebroid curve to invariants of its branches was known. The aim of this work is to provid…
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…
Standard Bases for Fractional Ideals of the Local Ring of an Algebroid Curve
Emilio Carvalho, Marcelo Escudeiro Hernandes
In this paper we present an algorithm to compute a Standard Basis for a fractional ideal of the local ring of an -space algebroid curve with several…