Topology of a holomorphic vector field around an isolated singularity

DOI10.1007/BF01085980zbMath0812.32019OpenAlexW1964337849MaRDI QIDQ1335886

Alberto Verjovsky, Jose A. Seade, Xavier Gómez-Mont

Publication date: 8 November 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01085980

zbMATH Keywords

foliationphase flowisolated singularityradial vector field

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30) Holomorphic bundles and generalizations (32L05) Dynamical systems over complex numbers (37F99)

Related Items (5)

Topology of a holomorphic vector field around an isolated singularity ⋮ Fibred links and a construction of real singularities via complex geometry ⋮ Degeneracy locus of critical points of the distance function on a holomorphic foliation ⋮ A NON-EXISTENCE THEOREM FOR MORSE TYPE HOLOMORPHIC FOLIATIONS OF CODIMENSION ONE TRANSVERSE TO SPHERES ⋮ Transversality of complex linear distributions with spheres, contact forms and Morse type foliations

Cites Work

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• Topological invariants and equidesingularization for holomorphic vector fields
• On the intersection ring of compact three manifolds
• The topology of holomorphic flows with singularity
• Topology of a holomorphic vector field around an isolated singularity
• Remarks on singularities of finite codimension in complex dynamical systems
• Singular Points of Complex Hypersurfaces. (AM-61)

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