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On the existence of stable compact leaves for transversely holomorphic foliations

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Publication:387225
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DOI10.1016/j.topol.2013.07.012zbMath1281.57018arXiv1204.0095OpenAlexW2962684821MaRDI QIDQ387225

César Camacho, Bruno C. Azevedo Scárdua

Publication date: 20 December 2013

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

Full work available at URL: https://arxiv.org/abs/1204.0095


zbMATH Keywords

holonomyholomorphic foliationstable leaf


Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Foliations in differential topology; geometric theory (57R30) Dynamical aspects of holomorphic foliations and vector fields (37F75)


Related Items

Dynamics and integrability for germs of complex vector fields with singularity in dimension two ⋮ A Darboux-type theorem for germs of holomorphic one-dimensional foliations



Cites Work

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  • Equations de Pfaff algébriques
  • Foliations: geometric studies
  • A counterexample to the periodic orbit conjecture
  • A global stability theorem for transversely holomorphic foliations
  • On a theorem of J. -P. Jouanolou concerning closed leaves of holomorphic foliations
  • Stability of complex foliations transverse to fibrations
  • Sur les hypersurfaces solutions des équations de Pfaff
  • Foliations with all leaves compact
  • Foliations with all leaves compact
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