David Marín, Jean-François Mattei, Éliane Salem
Published 2022-01-19Version 1
In this work we use our previous results on the topological classification of generic singular foliation germs on $(\mathbb C^{2},0)$ 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.
Comments: The paper entitled "Topologically complete families of germs of holomorphic foliations" with reference arXiv:2105.12688 (version 1) has been modified and divided in two parts: the paper "Topological moduli space for germs of holomorphic foliations II: Universal deformations" with reference arXiv:2105.12688v2 and the current paper
Topological moduli space for germs of holomorphic foliations
Monodromy and topological classification of germs of holomorphic foliations
Residue-type indices and holomorphic foliations
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