A measurable stability theorem for holomorphic foliations transverse to fibrations (Q446350)

Summary: 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 a zero measure subset. Similarly, we prove that a finitely generated group of holomorphic diffeomorphisms of a connected complex manifold is finite, provided the set of periodic orbits is not a zero measure subset.