On Levi-flat hypersurfaces with generic real singular set

DOI10.1007/s12220-012-9317-1zbMath1277.32042OpenAlexW2041374165MaRDI QIDQ375731

Arturo Fernández-Pérez

Publication date: 31 October 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-012-9317-1

zbMATH Keywords

holomorhic foliationLevi foliation

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Real submanifolds in complex manifolds (32V40)

Related Items (9)

Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations ⋮ Compact invariant sets for global holomorphic foliations ⋮ Holomorphic foliations tangent to Levi-flat subsets ⋮ On real-analytic Levi-flat hypersurfaces and holomorphic webs ⋮ Levi-flat world: a survey of local theory ⋮ Levi-flat hypersurfaces tangent to projective foliations ⋮ On normal forms for Levi-flat hypersurfaces with an isolated line singularity ⋮ Singular Levi-flat hypersurfaces in complex projective space induced by curves in the Grassmannian ⋮ Dicritical singularities and laminar currents on Levi-flat hypersurfaces

Cites Work

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• On Levi-flat hypersurfaces tangent to holomorphic webs
• Algebraic Levi-flat hypervarieties in complex projective space
• Pseudoconvex domains with real-analytic boundary
• On normal forms of singular Levi-flat real analytic hypersurfaces
• Local Levi-flat hypersurfaces invariants by a codimension one holomorphic foliation
• Levi Flat Hypersurfaces Which are Not Holomorphically Flat
• Singular Levi-Flat Real Analytic Hypersurfaces
• Normal forms of Levi-flat hypersurfaces with Arnold type singularities

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