Local Levi-flat hypersurfaces invariants by a codimension one holomorphic foliation
From MaRDI portal
Publication:3008438
DOI10.1353/ajm.2011.0018zbMath1225.32038OpenAlexW2171735057MaRDI QIDQ3008438
Alcides Lins Neto, Dominique Cerveau
Publication date: 15 June 2011
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1353/ajm.2011.0018
meromorphic first integralsholomorphic foliations of codimension onegerms of Levi-flat hypersurfaces
Singularities of holomorphic vector fields and foliations (32S65) Extension of functions and other analytic objects from CR manifolds (32V25) Real-analytic manifolds, real-analytic spaces (32C05)
Related Items (19)
Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations ⋮ Nonexistence of certain Levi flat hypersurfaces in Kähler manifolds from the viewpoint of positive normal bundles ⋮ Chow's theorem for real analytic Levi-flat hypersurfaces ⋮ Compact invariant sets for global holomorphic foliations ⋮ On Levi-flat hypersurfaces with generic real singular set ⋮ Holomorphic foliations tangent to Levi-flat subsets ⋮ On real-analytic Levi-flat hypersurfaces and holomorphic webs ⋮ Singular set of a Levi-flat hypersurface is Levi-flat ⋮ On normal forms of singular Levi-flat real analytic hypersurfaces ⋮ Levi-flat world: a survey of local theory ⋮ Levi-flat hypersurfaces tangent to projective foliations ⋮ On elliptic modular foliations, II ⋮ Some problems in the geometry of foliations for the 60th anniversary of IMPA ⋮ On normal forms for Levi-flat hypersurfaces with an isolated line singularity ⋮ On a theorem of Lyapunov-Poincaré in higher dimensions ⋮ Local normal forms of singular Levi-flat hypersurfaces ⋮ Singular Levi-flat hypersurfaces in complex projective space induced by curves in the Grassmannian ⋮ On local hulls of Levi-flat hypersurfaces ⋮ Dicritical singularities and laminar currents on Levi-flat hypersurfaces
This page was built for publication: Local Levi-flat hypersurfaces invariants by a codimension one holomorphic foliation
