2 citations · 3 across the 7 of their papers we have counts for
5 papers · 1 filter
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…