Germ of presentable foliations of the complex plane

DOI10.1007/S00574-015-0093-YzbMath1337.32045OpenAlexW2346785367MaRDI QIDQ272182

Loïc Teyssier

Publication date: 20 April 2016

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-015-0093-y

zbMATH Keywords

singular foliations of the complex plane

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

Related Items (3)

Extending to the complex line Dulac’s corner maps of non-degenerate planar singularities ⋮ Differentiable invariants of holomorphic foliations ⋮ Coalescing Complex Planar Stationary Points

Cites Work

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• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• Topological invariants and equidesingularization for holomorphic vector fields
• Invariant varieties through singularities of holomorphic vector fields
• Analytical classification of singular saddle-node vector fields
• Topology of singular holomorphic foliations along a compact divisor
• Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
• Incompressibilité des feuilles de germes de feuilletages holomorphes singuliers
• Reduction of Singularities of the Differential Equation Ady = Bdx
• Singular Points of Complex Hypersurfaces. (AM-61)

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