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arXiv:math/0701130 [math.DS]AbstractReferencesReviewsResources

Rigidity for dicritical germ of foliation in the complex plane

Y. Genzmer

Published 2007-01-04Version 1

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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