L'incompressibilite des feuilles de germes de feuilletages holomorphes singuliers

Details L'incompressibilite des feuilles de germes de feuilletages holomorphes singuliers L'incompressibilite des feuilles de germes de feuilletages holomorphes singuliers

2006-12-06

arxiv.org/abs/math/0612143v1

Mathematics

Dynamical Systems

Scientific paper

We consider a non-dicritic germ of foliations defined in some ball, with
finite number of separatrices and satisfying some additional but generic
hypothesis. We prove that there exists an open neighborhood U of the total
separatice set S such that each leaf of foliaion restrict to (U-S) is
incompressible in (U-S).

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