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Articles, 2 records found
Books and collections, 1 records found
Articles 2 records found  
1.
54 p, 1.0 MB Topological Moduli Space for Germs of Holomorphic Foliations / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mattei, Jean-François (Institut de Mathématiques de Toulouse) ; Salem, Eliane (Sorbonne Université. Institut de Mathématiques de Jussieu-Paris Rive Gauche)
This work deals with the topological classification of germs of singular foliations on (ℂ2,0). 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 compute the moduli space of topological classes in terms of the cohomology of a new algebraic object that we call group-graph. [...]
2020 - 10.1093/imrn/rny244
International Mathematics Research Notices, Vol. 2020, Issue 23 (November 2020) , p. 9228-9292  
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2.
53 p, 1.1 MB Topological moduli space for germs of foliations II : universal deformations / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mattei, Jean-François (Université Paul Sabatier. Institut de Mathématiques de Toulouse) ; Salem, Eliane (Sorbonne Université. Institut de Mathématiques de Jussieu-Paris Rive Gauche)
This work deals with the topological classification of singular foliation germs on (C2,0). 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. [...]
2023 - 10.2422/2036-2145.202111_006
Annali della Scuola normale superiore di Pisa - Classe di scienze, In press 2023  
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Books and collections 1 records found  
1.
Topology of singular foliation germs in C2 / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mattei, Jean-François (Institut de Mathématiques de Toulouse) ; Salem, Éliane (Université de Paris)
In this article we give an overview on the topology of singularities of holomorphic foliation germs in C2. We describe several results of the authors on the topology of the leaves and the structure of the leaf space. [...]
Springer, 2024
Handbook of Geometry and Topology of Singularities V: Foliations, 2024, p. 167-216  
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3 Salem, Éliane
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