Analytical and formal classifications of quasi-homogeneous foliations in (C^2,0)

We prove a result of classification for germs of formal and convergent quasi-homogeneous foliations in C^2 with fixed separatrix. Basically, we prove that the analytical and formal class of such a foliation depend respectively only on the analytical and formal class of its representation of projective holonomy

Classification of absolutely dicritical foliations of cusp type

We give a classification of absolutely diacritical foliations of cusp type, that are, the germs of singularities of complex foliations in the complex plane topologically equivalent to the singularity given by the level of the meromorphic function y2+x3/xy