3 citations · 3 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
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…
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) \…
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…