Local normal forms of singular Levi-flat hypersurfaces

DOI10.1007/s12220-018-0094-3zbMath1422.32039arXiv1710.02893OpenAlexW2762584622MaRDI QIDQ2318048

Gustavo Marra, Arturo Fernández-Pérez

Publication date: 13 August 2019

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

Full work available at URL: https://arxiv.org/abs/1710.02893

zbMATH Keywords

holomorphic foliationsLevi-flat hypersurfacesisochoric coordinates

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Singularities of holomorphic vector fields and foliations (32S65)

Cites Work

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• Real hypersurfaces in complex manifolds
• Sur le lemme de Morse
• An isochore versal deformation theorem
• Singular set of a Levi-flat hypersurface is Levi-flat
• On normal forms for Levi-flat hypersurfaces with an isolated line singularity
• Normal forms for CR singular codimension-two Levi-flat submanifolds
• On normal forms of singular Levi-flat real analytic hypersurfaces
• Quasihomogeneous isolated singularities of hyperplanes.
• Local Levi-flat hypersurfaces invariants by a codimension one holomorphic foliation
• Introduction to Toric Varieties. (AM-131)
• Lectures on Resolution of Singularities (AM-166)
• Holomorphic Continuation of Smooth Functions Over Levi-Flat Hypersurfaces
• Singular Levi-Flat Real Analytic Hypersurfaces
• A volume-preserving normal form for a reduced normal crossing function germ
• Normal forms of Levi-flat hypersurfaces with Arnold type singularities

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