3 citations · 6 across the 7 of their papers we have counts for
9 papers
Nilpotent Holomorphic Foliations on
Evelia R. García Barroso, Hernán Neciosup-Puican
In this paper, we study nilpotent holomorphic foliations in complex dimension , at the origin, defined by germs of integrable 1-forms whose linear part is given by \(zdz\). Th…
Eggers decomposition of polar curves in positive characteristic
Ana Belén de Felipe, Evelia R. García Barroso, Janusz Gwoździewicz
Let be a power series in two variables with coefficients in an algebraically closed field of positive characteristic. We identify a necessary and sufficient condition, read fro…
Lotuses as computational architectures
Evelia R. García Barroso, Pedro D. González Pérez, Patrick Popescu-Pampu
Lotuses are certain types of finite contractible simplicial complexes, obtained by identifying vertices of polygons subdivided by diagonals. As we explained in a previous paper, ea…
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…
A Eudoxian study of discriminant curves associated to normal surface singularities
Evelia Rosa García Barroso, Patrick Popescu-Pampu
Let be a finite morphism from a germ of normal complex analytic surface to the germ of at the origin. We show that the affine al…
Higher order polars of quasi-ordinary singularities
Evelia Rosa García Barroso, Janusz Gwoździewicz
A quasi-ordinary polynomial is a monic polynomial with coefficients in the power series ring such that its discriminant equals a monomial up to unit. In this paper we study higher…
On the intersection multiplicity of plane branches
Evelia R. García Barroso, Arkadiusz Płoski
We prove an intersection formula for two plane branches in terms of their semigroups and key polynomials. Then we provide a strong version of Bayer's theorem on the set of intersec…
Decompositions of the higher order polars of plane branches
Evelia R. García Barroso, Janusz Gwoździewicz
\noindent In \cite{Casas} Casas-Alvero found decompositions of higher order polars of an irreducible plane curve generalizing the results of Merle. We improve his result giving a f…
Euclidean algorithm and polynomial equations after Labatie
E. R. García Barroso, A. Płoski
We recall Labatie's effective method of solving polynomial equations with two unknowns by using the Euclidean algorithm.