Sliding invariants and classification of singular holomorphic foliations in the plane

DOI10.5802/AIF.2976zbMath1343.32022arXiv1304.4805OpenAlexW2963320538MaRDI QIDQ5962658

Hong Minh Truong

Publication date: 15 February 2016

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

Full work available at URL: https://arxiv.org/abs/1304.4805

zbMATH Keywords

singular holomorphic foliationsCamacho-Sad indicessliding invariants

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Singularities of holomorphic vector fields and foliations (32S65)

Cites Work

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• Modules de feuilletages holomorphes singuliers. I: équisingularité. (Modules of singular holomorphic foliations. I: Equisingularity)
• Analytical and formal classifications of quasi-homogeneous foliations in \((\mathbb C^2, 0)\)
• Invariant varieties through singularities of holomorphic vector fields
• Isotropic transformations of germs of holomorphic foliations
• Moduli spaces for topologically quasi-homogeneous functions
• Absolutely Dicritical Foliations
• Groupes d'automorphismes de $({\bbfC},0)$ et équations différentielles $ydy+\cdots =0$
• Holonomie et intégrales premières
• Normal forms of foliations and curves defined by a function with a generic tangent cone
• Reduction of Singularities of the Differential Equation Ady = Bdx

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