Sur l'int�gration des �quations diff�rentielles holomorphes r�duites en dimension deux

DOI10.1007/BF01239006zbMath0969.34074MaRDI QIDQ4950750

Michel Berthier, Frédéric Touzet

Publication date: 22 June 2000

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

zbMATH Keywords

holomorphic foliationsanalytic classificationLiouvillian first integralsNilsson first integrals

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Abstract differential equations (12H20)

Related Items (6)

Singular codimension one foliations, Galois groupoid and first integrals ⋮ About transversely projective holomorphic foliations. ⋮ Representations of quasi-projective groups, flat connections and transversely projective foliations ⋮ Examples of non-conjugated holomorphic vector fields and foliations ⋮ Homological equation and asymptotic cycles of a saddle-node singularity. ⋮ Analytic normal forms for convergent saddle-node vector fields

Cites Work

• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• Groupes d'automorphismes de $({\bbfC},0)$ et équations différentielles $ydy+\cdots =0$
• Holonomie et intégrales premières
• Liouvillian First Integrals of Differential Equations
• Unnamed Item
• Unnamed Item

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