Algebraic Levi-flat hypervarieties in complex projective space

DOI10.1007/s12220-010-9201-9zbMath1354.32006arXiv0805.1763OpenAlexW3103279325MaRDI QIDQ692146

Jiří Lebl

Publication date: 4 December 2012

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

Full work available at URL: https://arxiv.org/abs/0805.1763

zbMATH Keywords

singular Levi-flat hypersurfaces

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Real-analytic sets, complex Nash functions (32C07)

Related Items (11)

Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations ⋮ Flattening of CR singular points and analyticity of the local hull of holomorphy. I ⋮ 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 ⋮ Levi-flat hypersurfaces tangent to projective foliations ⋮ Flattening of CR singular points and analyticity of the local hull of holomorphy. II. ⋮ Singular Levi-flat hypersurfaces in complex projective space induced by curves in the Grassmannian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(\bar\partial\)-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in \(\mathbb{C}P^n\) with \(n \geq 3\)
• Nowhere minimal CR submanifolds and Levi-flat hypersurfaces
• Semianalytic and subanalytic sets
• Equations de Pfaff algébriques
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• A note on projective Levi flats and minimal sets of algebraic foliations
• Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension \(\geq 3\)
• \(\bar\partial\)-regularity for weakly pseudoconvex domains in compact Hermitian symmetric spaces with respect to invariant metrics
• Regularity of the \(\overline \partial\) operator and Siu's theorem about the non-existence of Levi-flat hypersurfaces in the complex projective space \(\mathbb {CP}_n\), \(n\geqslant 3\)
• The Lefschetz theorem for CR submanifolds and the nonexistence of real analytic Levi flat submanifolds
• Domaines pseudoconvexes sur les variétés kähleriennes
• On the complexity of proper holomorphic mappings between balls
• Holomorphic Continuation of Smooth Functions Over Levi-Flat Hypersurfaces
• Singular Levi-Flat Real Analytic Hypersurfaces

This page was built for publication: Algebraic Levi-flat hypervarieties in complex projective space