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math.CV2025
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…
math.CV2024
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…
math.CV2024
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},…