Levi-flat world: a survey of local theory

DOI10.13108/2017-9-3-172zbMath1474.32050OpenAlexW2779712391MaRDI QIDQ5136720

Alexandre B. Sukhov

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa397

zbMATH Keywords

CR structureLevi-flat manifold

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) CR structures, CR operators, and generalizations (32V05)

Cites Work

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• On Levi-flat hypersurfaces with generic real singular set
• On dicritical singularities of Levi-flat sets
• Some remarks on meromorphic first integrals
• Singular set of a Levi-flat hypersurface is Levi-flat
• Germs of singular Levi-flat hypersurfaces and holomorphic foliations
• Introduction to the theory of analytic spaces
• Local Levi-flat hypersurfaces invariants by a codimension one holomorphic foliation
• Dicritical singularities and laminar currents on Levi-flat hypersurfaces
• The geometric reflection principle in several complex variables: a survey
• Holomorphic Continuation of Smooth Functions Over Levi-Flat Hypersurfaces
• Singular Levi-Flat Real Analytic Hypersurfaces

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