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

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

2007-01-08

arxiv.org/abs/math/0701220v1

Mathematics

Dynamical Systems

Scientific paper

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.

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