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

TOPOLOGICAL MODULI SPACE FOR GERMS OF HOLOMORPHIC FOLIATIONS II: UNIVERSAL DEFORMATIONS

David Marín
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Jean-François Mattei
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Résumé

This work deals with the topological classification of singular foliation germs on (C ^2 , 0). Working in a suitable class of foliations we fix the topological invariants given by the separatrix set, the Camacho-Sad indices and the projective holonomy representations and we prove the existence of a topological universal deformation through which every equisingular deformation uniquely factorizes up to topological conjugacy. This is done by representing the functor of topological classes of equisingular deformations of a fixed foliation. We also describe the functorial dependence of this representation with respect to the foliation.
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Dates et versions

hal-03842130 , version 1 (07-11-2022)

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  • HAL Id : hal-03842130 , version 1

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David Marín, Jean-François Mattei, Éliane Salem. TOPOLOGICAL MODULI SPACE FOR GERMS OF HOLOMORPHIC FOLIATIONS II: UNIVERSAL DEFORMATIONS. 2022. ⟨hal-03842130⟩
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