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

Y. Genzmer

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arXiv · math/0701220

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

Y. Genzmer

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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.

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Y. Genzmer. 2007-01-08. Analytical and formal classifications of quasi-homogeneous foliations in (C^2,0). https://arxiv.org/abs/math/0701220

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