Topology of generic foliations on Stein manifolds: structure of leaves and Kupka-Smale property

Published 10 May 2011 in math.DS and math.CV | (1105.2019v1)

Abstract: We study topology of leaves of 1-dimensional singular holomorphic foliations of Stein manifolds. We prove that for a generic foliation all leaves, except for at most countably many, are contractible, the rest are topological cylinders. We show that a generic foliation is complex Kupka-Smale.

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Tanya Firsova

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