Analytical and formal classifications of quasi-homogeneous foliations in (C^2,0)
arXiv:math/0701220
Abstract
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.