Rigidity for dicritical germ of foliation in the complex plane

Y. Genzmer

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Rigidity for dicritical germ of foliation in the complex plane

Y. Genzmer

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Abstract

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 resolution space which cannot carry any deformation of the foliation with constant holonomy pseudo-group. This situation never occurs in the non-dicritical case.

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Y. Genzmer. 2007-01-04. Rigidity for dicritical germ of foliation in the complex plane. https://arxiv.org/abs/math/0701130

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