Analytical and formal classifications of quasi-homogeneous foliations in (C^2,0)
Dynamical Systems
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0701220,
title = {Analytical and formal classifications of quasi-homogeneous foliations in (C^2,0)},
author = {Y. Genzmer},
journal= {arXiv preprint arXiv:math/0701220},
year = {2007}
}