Singularidades presimples y simples de foliaciones de codimensión uno

Abstract

In dimension 2 as in 3, singularity reduction of holomorphic foliations of codimension 1 have two phases: rst, from the given singularity to the presimple singularity; second, form the presimple singularities to the simple ones. In this article we establish the normal forms of presimple singularities according to the papers [2], [4] and [3]. Also, we characterize presimple singularities with closed leafs.