Topological equivalence of holomorphic foliation germs of rank $1$ with isolated singularity in the Poincaré domain

DOI10.5802/aif.3251zbMath1462.32036arXiv1601.00090OpenAlexW2962937934MaRDI QIDQ2421919

Yanyan Li

Publication date: 18 June 2019

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00090

zbMATH Keywords

topological equivalenceisolated singularityPoincaré domainholomorphic foliation germs

Mathematics Subject Classification ID

Singularities of vector fields, topological aspects (58K45) Singularities of holomorphic vector fields and foliations (32S65)

Cites Work

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• Topological classification and bifurcations of holomorphic flows with resonances in \(C^ 2\).
• The topology of holomorphic flows with singularity
• Remarks on singularities of finite codimension in complex dynamical systems
• Morse theory and the topology of holomorphic foliations near an isolated singularity
• Differential Topology
• Monodromy and topological classification of germs of holomorphic foliations
• Holomorphic foliations in certain holomorphically convex domains of $\bbfC \sp 2$

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