Connectedness of the fibers of a Liouvillian function

DOI10.2977/prims/1195145325zbMath0902.32021OpenAlexW2003491525MaRDI QIDQ1378354

Emmanuel Paul

Publication date: 3 December 1998

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195145325

zbMATH Keywords

Galois coveringMilnor fibrationresiduesdivisors with normal crossingsClemens structureclosed logarithmic formsdesingularization without dicritical components of a divisorLiouvillian functionnon-dicritical curvessolvable holonomy

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Dynamics induced by flows and semiflows (37C10) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Singularities of holomorphic vector fields and foliations (32S65) Meromorphic functions of several complex variables (32A20) Coverings in algebraic geometry (14E20) Hypersurfaces and algebraic geometry (14J70)

Related Items (3)

Uniformization of the space of leaves of certain codimension one foliations ⋮ Characterization of singular holomorphic foliations, contained in Levi flat foliations, on compact complex surfaces ⋮ On the Structure of Codimension 1 Foliations with Pseudoeffective Conormal Bundle

Cites Work

• Topological invariants and equidesingularization for holomorphic vector fields
• Etude topologique des formes logarithmiques fermées. (Topological study of closed logarithmic forms)
• Classification topologique des germes de formes logarithmiques génériques. (Topological classification of germs of generic logarithmic forms)
• Calcul du nombre de cycles evanouissants d'une hypersurface complexe
• Déformations équisingulières des germes de courbes gauches réduites
• Holonomie et intégrales premières
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