Rigidity of certain holomorphic foliations

DOI10.1090/S0002-9939-06-08418-8zbMath1107.32012OpenAlexW1587905243MaRDI QIDQ3419943

David Marin Perez

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08418-8

zbMATH Keywords

rigiditydeformationholonomysingular holomorphic foliationunfoldingcomplex fibred surface

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Cites Work

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• Unfoldings of holomorphic foliations
• Modules de feuilletages holomorphes singuliers. I: équisingularité. (Modules of singular holomorphic foliations. I: Equisingularity)
• Problèmes de modules pour les formes différentielles singulières dans le plan complexe. (Moduli problems for singular differential forms in the complex plane)
• Hypersurfaces solutions d'une équation de Pfaff analytique
• Separatrices for non solvable dynamics on \(\mathbb{C},0\)
• On a theorem of J. -P. Jouanolou concerning closed leaves of holomorphic foliations
• Holomorphic Foliations in Ruled Surfaces
• Sur l'existence de points fixes attractifs pour les sous-groupes de Aut(C,0)
• Feuilletages holomorphes sur les surfaces complexes compactes
• Feuilletages de Painlevé

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