Cyclic stabilizers and infinitely many hyperbolic orbits for pseudogroups on

DOI10.1017/S1474748013000248zbMath1328.37045arXiv1304.1225OpenAlexW4302116923MaRDI QIDQ5408724

Helena Reis, Julio C. Rebelo

Publication date: 11 April 2014

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1225

zbMATH Keywords

fixed pointssingular holomorphic foliationscyclic stabilizerspseudogroups of local one-dimensional biholomorphisms

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (1)

Discrete orbits, recurrence and solvable subgroups of Diff \((\mathbb {C}^2, 0)\)

Cites Work

• Complex dynamics
• Separatrices for non solvable dynamics on \(\mathbb{C},0\)
• A singular Frobenius theorem via elementary arithmetic
• Countable set of limit cycles for the equation \(dw/dz=P_n(z,w)/Q_n(z,w)\)
• Sur l'existence de points fixes attractifs pour les sous-groupes de Aut(C,0)
• On fixed points of conformal pseudogroups

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