2 citations · 3 across the 7 of their papers we have counts for
7 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…
On some indices of foliations and applications
Arturo Fernández-Pérez, Evelia R. García 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 separatr…
On a Mattei-Salem theorem
Arturo Fernández-Pérez, Nancy Saravia-Molina
We investigate the relationship between the valuations of a germ of a singular foliation on the complex plane and those of a balanced equation of separatrices for $\m…
An upper bound for the GSV-index of a foliation
Arturo Fernández-Pérez, Evelia R. García 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 Briançon-Skoda theorem for foliations
Arturo Fernández-Pérez, Evelia R. García Barroso, Nancy Saravia-Molina
We generalize Mattei's result relative to the Briançon-Skoda theorem for foliations to the family of foliations of the second type. We use this generalization to establish relation…
On Milnor and Tjurina numbers of foliations
Arturo Fernández-Pérez, Evelia R. García 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…
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…