5 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…
Holomorphic foliations tangent to Rolle-pfaffian hypersurfaces
Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas
In this paper we study germs of holomorphic foliations, at the origin of the complex plane, tangent to Pfaffian hypersurfaces - integral hypersurfaces of real analytic 1-forms - sa…
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},…