An upper bound for the GSV-index of a foliation

Arturo Fernández-Pérez, Evelia R. García Barroso, Nancy Saravia-Molina

Let $\mathcal{F}$ be a holomorphic foliation at $p\in {\mathbb{C}}^2$, and $B$ be a separatrix of $\mathcal{F}$. We prove the following Dimca-Greuel type inequality $3μ_p(\mathcal{F},…