A measurable stability theorem for holomorphic foliations transverse to fibrations

Bruno Scardua

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arXiv · 1203.5147

A measurable stability theorem for holomorphic foliations transverse to fibrations

Bruno Scardua

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Abstract

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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Bruno Scardua. 2012-03-22. A measurable stability theorem for holomorphic foliations transverse to fibrations. https://arxiv.org/abs/1203.5147

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