5 papers
On some indices of foliations and applications
Arturo Fernández-Pérez, Evelia R. GarcÃa Barroso, Nancy Saravia-Molina
In this paper we establish a relationship between the Milnor number, the -number, and the Tjurina number of a foliation with respect to an effective balanced divisor of separat…
An upper bound for the GSV-index of a foliation
Arturo Fernández-Pérez, Evelia R. GarcÃa Barroso, Nancy Saravia-Molina
Let be a holomorphic foliation at , and be a separatrix of . We prove the following Dimca-Greuel type inequality $3μ_p(\mathcal{F}…
On Milnor and Tjurina numbers of foliations
Arturo Fernández-Pérez, Evelia R. GarcÃa Barroso, Nancy Saravia-Molina
We study the relationship between the Milnor and Tjurina numbers of a singular foliation , in the complex plane, with respect to a balanced divisor of separatrices $\m…
On the equisingularity class of the general higher order polars of plane branches
Evelia R. GarcÃa 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…
Combinatorial study of morsifications of real univariate singularities
Arnaud Bodin, Evelia Rosa GarcÃa Barroso, Patrick Popescu-Pampu +1
We study a broad class of morsifications of germs of univariate real analytic functions. We characterize the combinatorial types of the resulting Morse functions, via planar contac…