Topological Moduli Space for Germs of Holomorphic Foliations III: Complete families
Abstract
In this work we use our previous results on the topological classification of generic singular foliation germs on ( C2,0) to construct complete families: after fixing the semi-local topological invariants we prove the existence of a minimal family of foliation germs that contain all the topological classes and such that any equisingular global family with parameter space an arbitrary complex manifold factorizes through it.
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