Morse theory and the topology of holomorphic foliations near an isolated singularity

DOI10.1112/JTOPOL/JTR018zbMath1238.32024arXiv1105.3752OpenAlexW3106231980MaRDI QIDQ3173127

Beatriz Limón, Jose A. Seade

Publication date: 10 October 2011

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

Full work available at URL: https://arxiv.org/abs/1105.3752

zbMATH Keywords

foliationMorse functionpolar variety

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Singularities of holomorphic vector fields and foliations (32S65) Critical points of functions and mappings on manifolds (58K05) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (4)

Topological equivalence of holomorphic foliation germs of rank $1$ with isolated singularity in the Poincaré domain ⋮ Codimension one foliations with coupling of saddle singularities ⋮ Degeneracy locus of critical points of the distance function on a holomorphic foliation ⋮ Topological aspects of completely integrable foliations

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