Classification de certains feuilletages associ�s � un cusp

DOI10.1007/BF01232937zbMath0801.57020MaRDI QIDQ4299146

Rafik Meziani, Frank Loray

Publication date: 5 December 1994

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

zbMATH Keywords

holomorphic vector fieldstopological rigidityseparatrixsingularities of foliations of \(\mathbb{C}^ 2\)

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30)

Related Items (6)

Analytic classification of a class of cuspidal foliations in \((\mathbb{C}^3, 0)\) ⋮ Orbital formal normal forms for general Bogdanov-Takens singularity. ⋮ On codimension one foliations with prescribed cuspidal separatrix ⋮ Formal reduction of cuspidal singularities of analytic vector fields ⋮ The analytic and formal normal form for the nilpotent singularity ⋮ The analytic and formal normal form for the nilpotent singularity. The case of generalized saddle-node

Cites Work

• Topological invariants and equidesingularization for holomorphic vector fields
• Problèmes de modules pour les formes différentielles singulières dans le plan complexe. (Moduli problems for singular differential forms in the complex plane)
• Invariant varieties through singularities of holomorphic vector fields
• Groupes d'automorphismes de $({\bbfC},0)$ et équations différentielles $ydy+\cdots =0$

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