A Darboux-type theorem for germs of holomorphic one-dimensional foliations

DOI10.1017/etds.2014.46zbMath1342.37053OpenAlexW2326036247MaRDI QIDQ5743895

César Camacho, Bruno C. Azevedo Scárdua

Publication date: 8 February 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2014.46

zbMATH Keywords

singular holomorphic foliationsseparatrixlinearizable holonomy

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Cites Work

• Unnamed Item
• On the existence of stable compact leaves for transversely holomorphic foliations
• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• Equations de Pfaff algébriques
• Invariant varieties through singularities of holomorphic vector fields
• Topological classification and bifurcations of holomorphic flows with resonances in \(C^ 2\).
• Foliations with algebraic limit sets
• The topology of holomorphic flows with singularity
• Separatrices for non solvable dynamics on \(\mathbb{C},0\)
• Fixed points and circle maps
• Complex vector fields having orbits with bounded geometry
• Integration of complex differential equations
• Simultaneous linearization of germs of commuting holomorphic diffeomorphisms
• Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
• Groupes d'automorphismes de $({\bbfC},0)$ et équations différentielles $ydy+\cdots =0$
• Sur ĽintÉgration algÉbrique des Équations diffÉrentielles du premier ordre et du premier degrÉ
• Holonomie et intégrales premières
• Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold
• Reduction of Singularities of the Differential Equation Ady = Bdx

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