TOPOLOGICAL MODULI SPACE FOR GERMS OF HOLOMORPHIC FOLIATIONS III: COMPLETE FAMILIES - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2022

TOPOLOGICAL MODULI SPACE FOR GERMS OF HOLOMORPHIC FOLIATIONS III: COMPLETE FAMILIES

Résumé

In this work we use our previous results on the topological classification of generic singular foliation germs on (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.
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Dates et versions

hal-03842139 , version 1 (07-11-2022)

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  • HAL Id : hal-03842139 , version 1

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David Marín, Jean-François Mattei, Eliane Salem. TOPOLOGICAL MODULI SPACE FOR GERMS OF HOLOMORPHIC FOLIATIONS III: COMPLETE FAMILIES. 2022. ⟨hal-03842139⟩
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