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20062009
most citedAnalytical and formal classifications of quasi-homogeneous foliations in (C^2,0)

2 citations · 2 across the 4 of their papers we have counts for

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math.DS2007★ 2 cited

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

Y. Genzmer

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…

math.DS2007

Rigidity for dicritical germ of foliation in the complex plane

Y. Genzmer

We study some kind of rigidity property for dicritical foliation in the complex plane. In fact, we prove that for a generic dicritical foliation, there exists deformations of the r…

math.DS2006

Construction of foliations with prescribed separatrix

Y. Genzmer

We build a germ of singular foliation in dimension two with analytical class of separatrix and holonomy representations prescribed. Thanks to this construction, we study the link b…