Rigidity for dicritical germ of foliation in the complex plane

Details Rigidity for dicritical germ of foliation in the complex plane Rigidity for dicritical germ of foliation in the complex plane

2007-01-04

arxiv.org/abs/math/0701130v1

Mathematics

Dynamical Systems

Scientific paper

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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