L'incompressibilite des feuilles de germes de feuilletages holomorphes singuliers
Dynamical Systems
2007-05-23 v1 Complex Variables
Abstract
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).
Keywords
Cite
@article{arxiv.math/0612143,
title = {L'incompressibilite des feuilles de germes de feuilletages holomorphes singuliers},
author = {David Marin and Jean-Francois Mattei},
journal= {arXiv preprint arXiv:math/0612143},
year = {2007}
}