Algebraic approximation in CR geometry

DOI10.1016/j.matpur.2011.11.006zbMath1252.32039arXiv1202.2463OpenAlexW2962802137MaRDI QIDQ439122

Nordine Mir

Publication date: 1 August 2012

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2463

zbMATH Keywords

CR manifoldalgebraic mapCR orbits

Mathematics Subject Classification ID

Real algebraic sets (14P05) Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Analysis on CR manifolds (32V20) Real-analytic sets, complex Nash functions (32C07) Nash functions and manifolds (14P20)

Related Items (5)

Approximation of holomorphic maps from Runge domains to affine algebraic varieties ⋮ On some systems of real or complex vector fields and their related Laplacians ⋮ Linear nested Artin approximation theorem for algebraic power series ⋮ Formal versus analytic CR mappings ⋮ Transcendental holomorphic maps between real algebraic manifolds in a complex space

Cites Work

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• Holomorphic versus algebraic equivalence for deformations of real-algebraic Cauchy-Riemann manifolds
• Global holomorphic extension of a local map and a Riemann mapping theorem for algebraic domains
• On the mapping problem for algebraic real hypersurfaces
• Germs of holomorphic mappings between real algebraic hypersurfaces
• On the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensions
• Algebraicity of holomorphic mappings between real algebraic sets in \(\mathbb{C}^ n\)
• Reflection ideals and mappings between generic submanifolds in complex space
• Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces
• Equivalences of real submanifolds in complex space.
• Rational dependence of smooth and analytic CR mappings on their jets
• Algebraic approximation of structures over complete local rings
• General Néron desingularization and approximation

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