A measurable stability theorem for holomorphic foliations transverse to fibrations

Details A measurable stability theorem for holomorphic foliations transverse to fibrations A measurable stability theorem for holomorphic foliations transverse to fibrations

2012-03-22

arxiv.org/abs/1203.5147v1

Mathematics

Complex Variables

Scientific paper

We prove that a transversely holomorphic foliation which is transverse to the
fibers of a fibration, is a Seifert fibration if the set of compact leaves is
not of zero measure. Similarly, we prove that a finitely generated subgroup of
holomorphic diffeomorphisms of a connected complex manifold, is finite provided
that the set of periodic orbits is not of zero measure.

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