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Structure of leaves and the complex Kupka-Smale property

Tanya Firsova — 2013

Annales de l’institut Fourier

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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