CR singular images of generic submanifolds under holomorphic maps

DOI10.1007/s11512-013-0193-0zbMath1310.32040arXiv1205.5309OpenAlexW2016024028MaRDI QIDQ2254976

Ravi Shroff, Yuan Zhang, Duong Ngoc Son, André Minor, Jiří Lebl

Publication date: 6 February 2015

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5309

zbMATH Keywords

holomorphic extension of CR mapsreal analytic CR mapreal anaytic CR manifold

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Extension of functions and other analytic objects from CR manifolds (32V25)

Related Items (5)

A CR singular analogue of Severi's theorem ⋮ Codimension two CR singular submanifolds and extensions of CR functions ⋮ On Lewy extension for smooth hypersurfaces in ℂⁿ×ℝ ⋮ Flattening a non-degenerate CR singular point of real codimension two ⋮ On CR singular CR images

Cites Work

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• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
• Flattening of CR singular points and analyticity of the local hull of holomorphy. II.
• Nowhere minimal CR submanifolds and Levi-flat hypersurfaces
• A Bishop surface with a vanishing Bishop invariant
• Normal forms for real surfaces in \(C^ 2\) near tangents and hyperbolic surface transformations
• Pseudoconvex domains with real-analytic boundary
• CR automorphisms of real analytic manifolds in complex space
• On a problem of Moser
• Singular set of a Levi-flat hypersurface is Levi-flat
• Images of real submanifolds under finite holomorphic mappings
• Differentiable manifolds in complex Euclidean space
• Lowest Order Invariants for Real-Analytic Surfaces in C 2
• Analytic surfaces in C^2 and their local hull of holomorphy
• The Traces of Holomorphic Functions on Real Submanifolds
• Singular Levi-Flat Real Analytic Hypersurfaces
• On an 𝑛-manifold in 𝐂ⁿ near an elliptic complex tangent
• Existence of real analytic surfaces with hyperbolic complex tangent that are formally but not holomorphically equivalent to quadrics

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