Analytic classification of a class of cuspidal foliations in $({\mathbb{C}}^3,0)$

Abstract

In this article we study the analytic classification of certain types of quasi-homogeneous cuspidal holomorphic foliations in $(\CC^3,{\bf 0})$ via the essential holonomy defined over one of the components of the exceptional divisor that appears in the reduction of the singularities of the foliation.

16 pages. To appear in Journal of Differential Equations