On normal forms of singular Levi-flat real analytic hypersurfaces

DOI10.1007/s00574-011-0004-9zbMath1215.32016arXiv1003.4999OpenAlexW3101385971MaRDI QIDQ2430809

Arturo Fernández-Pérez

Publication date: 8 April 2011

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4999

zbMATH Keywords

holomorphic foliationsLevi-flat hypersurfaces

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (8)

Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations ⋮ Compact invariant sets for global holomorphic foliations ⋮ On Levi-flat hypersurfaces with generic real singular set ⋮ Singular set of a Levi-flat hypersurface is Levi-flat ⋮ On Levi-flat hypersurfaces tangent to holomorphic webs ⋮ Levi-flat hypersurfaces tangent to projective foliations ⋮ On normal forms for Levi-flat hypersurfaces with an isolated line singularity ⋮ Local normal forms of singular Levi-flat hypersurfaces

Cites Work

• Local Levi-flat hypersurfaces invariants by a codimension one holomorphic foliation
• Holonomie et intégrales premières
• Singular Levi-Flat Real Analytic Hypersurfaces

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