12 citations · 37 across the 9 of their papers we have counts for
9 papers
On the equisingularity class of the general higher order polars of plane branches
Evelia R. García Barroso, Janusz Gwoździewicz, Mateusz Masternak
In this paper we describe the factorization of the higher order polars of a generic branch in its equisingularity class. We generalize the results of Casas-Alvero and Hefez-Hernand…
On -Frobenius of affine semigroups
Evelia R. García Barroso, Juan Ignacio García-García, Luis José Santana Sánchez +1
The aim of this paper is to study the -Frobenius vector of affine semigroups ; that is, the maximum element, with respect to a graded monomial order, with…
Generalized strongly increasing semigroups
E. R. García Barroso, J. I. García-García, A. Vigneron-Tenorio
In this work we present a new class of numerical semigroups called GSI-semigroups. We see the relations between them and others families of semigroups and we give explicitly their…
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…
The combinatorics of plane curve singularities. How Newton polygons blossom into lotuses
Evelia R. García Barroso, Pedro D. González Pérez, Patrick Popescu-Pampu
This survey may be seen as an introduction to the use of toric and tropical geometry in the analysis of plane curve singularities, which are germs of complex analytic curve…
Characterization of second type plane foliations using Newton polygons
Percy Fernández-Sanchez, Evelia R. García Barroso, Nancy Saravia-Molina
In this article we characterize the foliations that have the same Newton polygon that their union of formal separatrices, they are the foliations called of the second type. In the…
Variations on inversion theorems for Newton-Puiseux series
Evelia Rosa García Barroso, Pedro Daniel González Pérez, Patrick Popescu-Pampu
Let be a complex irreducible formal power series without constant term. One may solve the equation by choosing either or as independent variable, gettin…
On the approximate jacobian Newton diagrams of an irreducible plane curve
Evelia R. García Barroso, Janusz Gwozdziewicz
We introduce the notion of an approximate jacobian Newton diagram which is the jacobian Newton diagram of the morphism , where is a branch and is a chara…
A discriminant criterion of irreducibility
Evelia R. García Barroso, Janusz Gwoździewicz
In this paper we give a criterion of irreducibility for a complex power series in two variables, using the notion of jacobian Newton diagrams, defined with respect to any direction…