On topological rigidity of projective foliations

DOI10.24033/bsmf.2330zbMath0933.32043OpenAlexW2224151684MaRDI QIDQ4239813

Paulo Sad, Alcides Lins Neto, Bruno C. Azevedo Scárdua

Publication date: 13 July 1999

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1998__126_3_381_0

zbMATH Keywords

rigidityfoliationholonomy grouplaminationnon solvable group of diffeomorphisms

Mathematics Subject Classification ID

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

Related Items (9)

Centennial History of Hilbert's 16th Problem ⋮ Total rigidity of polynomial foliations on the complex projective plane ⋮ ON THE GROWTH OF HOLOMORPHIC PROJECTIVE FOLIATIONS ⋮ Stability of branched pull-back projective foliations ⋮ The utmost rigidity property for quadratic foliations on \(\mathbb {P}^2\) with an invariant line ⋮ Foliations of multiprojective spaces and a conjecture of Bernstein and Lunts ⋮ Algebraic solutions of plane vector fields ⋮ Branched pull-back components of the space of codimension two foliations on ℙ4 ⋮ Dynamics of local groups of conformal mappings and generic properties of differential equations on \(\mathbb{C}^{2}\)

Cites Work

• Construction of singular holomorphic vector fields and foliations in dimension two
• Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
• The transverse dynamics of a holomorphic flow
• Classification topologique des germes de formes logarithmiques génériques. (Topological classification of germs of generic logarithmic forms)
• Foliations with algebraic limit sets
• Separatrices for non solvable dynamics on \(\mathbb{C},0\)
• Complete systems of topological and analytical invariants for a generic foliation of \((\mathbb{C}^ 2,0)\)
• On the dynamics of rational maps
• Groupes d'automorphismes de $({\bbfC},0)$ et équations différentielles $ydy+\cdots =0$
• Sur l'existence de points fixes attractifs pour les sous-groupes de Aut(C,0)
• Transversely affine and transversely projective holomorphic foliations
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