9 citations · 20 across the 10 of their papers we have counts for
11 papers
On Milnor and Tjurina numbers of Pairs of Holomorphic Functions Germs
Arturo Fernández-Pérez, Evelia R. García Barroso, Nancy Saravia-Molina
Motivated by the bifurcation formula for the Milnor number of pairs of holomorphic function germs, we introduce, via foliation theory, the Tjurina number of such pairs. We prove th…
Conductors of Abhyankar-Moh semigroups of even degrees
Evelia R. GarcÍa Barroso, Juan Ignacio GarcÍa-GarcÍa, Luis José Santana SÁnchez +1
In their paper on the embeddings of the line in the plane, Abhyankar and Moh proved an important inequality, now known as the Abhyankar-Moh inequality, which can be stated in terms…
A note on the plane curve singularities in positive characteristic
Evelia R. García Barroso, Arkadiusz Płoski
Given an algebroid plane curve over an algebraically closed field of characteristic we consider the Milnor number , the delta invariant and the number…
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…
Factorizations of the same length in abelian monoids
Evelia R. García Barroso, Ignacio García-Marco, Irene Márquez-Corbella
Let be a finitely generated and reduced monoid. In this paper we develop a general strategy to study the set of elements in …
Contact exponent and the Milnor number of plane curve singularities
Evelia R. García Barroso, Arkadiusz Płoski
We investigate properties of the contact exponent (in the sense of Hironaka [Hi]) of plane algebroid curve singularities over algebraically closed fields of arbitrary characteristi…
On the Milnor formula in arbitrary characteristic
Evelia R. García Barroso, Arkadiusz Płoski
The Milnor formula relates the Milnor number , the double point number and the number of branches of a plane curve singularity. It holds over the fields of ch…
Ultrametric properties for valuation spaces of normal surface singularities
Evelia García Barroso, Pedro González Pérez, Patrick Popescu-Pampu +1
Let be a fixed branch -- that is, an irreducible germ of curve -- on a normal surface singularity . If are two other branches, define $u_L(A,B) := \dfrac{(L \cdot A) \…
The Milnor number of plane irreducible singularities in positive characteristic
Evelia R. García Barroso, Arkadiusz Płoski
\noindent Let resp. be the Milnor number resp. the degree of the conductor of an irreducible power series $f\in \bK[[x,y]]$, where $\bK$ is an algebraically closed fi…
Characterization of non-degenerate plane curve singularities
Evelia R. García Barroso, Andrzej Lenarcik, Arkadiusz Płoski
We characterize plane curve germes non-degenerate in Kouchnirenko's sense in terms of characteristics and intersection multiplicities of branches.
Decomposition in bunches of the critical locus of a quasi-ordinary map
Pedro Daniel Gonzalez Perez, Evelia Garcia Barroso
A polar hypersurface P of a complex analytic hypersurface germ, f=0, can be investigated by analyzing the invariance of certain Newton polyhedra associated to the image of P, with…