3 papers
math.AG2026
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…
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…