Differentiable equisingularity of holomorphic foliations

DOI10.5427/JSING.2019.19FzbMath1427.32024arXiv1611.03004OpenAlexW2968817419MaRDI QIDQ5235495

Rudy Rosas, Rogério S. Mol

Publication date: 11 October 2019

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03004

zbMATH Keywords

invariant curvesvector fieldsholomorphic foliationsequidesingularization

Mathematics Subject Classification ID

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

Related Items (4)

Characteristic curves of holomorphic foliations ⋮ Separatrices for real analytic vector fields in the plane ⋮ Second type foliations of codimension one ⋮ Differentiable invariants of holomorphic foliations

Cites Work

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• The \(C^{1}\) invariance of the algebraic multiplicity of a holomorphic vector field
• The differentiable-invariance of the algebraic multiplicity of a holomorphic vector field
• Topological invariants and equidesingularization for holomorphic vector fields
• Oscillation, spiralling, vorticity
• Meromorphic first integrals: Some extension results
• Local polar invariants and the Poincaré problem in the dicritical case
• Local polar invariants for plane singular foliations
• Bilipschitz Invariants for Germs of Holomorphic Foliations
• Rigidity for dicritical germ of foliation in ℂ2
• Reduction of Singularities of the Differential Equation Ady = Bdx

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