From the 1 of 5 linked papers with an AI index.
5 papers
On Milnor and Tjurina numbers of Pairs of Holomorphic Functions Germs
Arturo Fernández-Pérez, Evelia R. GarcÃa Barroso, Nancy Saravia-Molina
The paper defines a Tjurina number for pairs of holomorphic function germs using foliation theory, proves it is an analytic invariant, and provides formulas and properties includin…
On some indices of foliations and applications
Arturo Fernández-Pérez, Evelia R. GarcÃa 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 separat…
An upper bound for the GSV-index of a foliation
Arturo Fernández-Pérez, Evelia R. GarcÃa 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 Milnor and Tjurina numbers of foliations
Arturo Fernández-Pérez, Evelia R. GarcÃa 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…
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…