On the local algebraizibility of real analytic generic submanifolds in \(\mathbb{C}^n\)

DOI10.1016/S1631-073X(02)00020-1zbMath1041.32025arXivmath/0403275OpenAlexW2033765202MaRDI QIDQ1871492

Joël Merker, Hervé Gaussier

Publication date: 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403275

zbMATH Keywords

real submanifoldgroup of biholomorphismsreal algebraic submanifold

Mathematics Subject Classification ID

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

Cites Work

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• Erratum to: ``A new example of a uniformly Levi degenerate hypersurface in \(\mathbb C^3\)
• Real hypersurfaces in complex manifolds
• An example of a real analytic strongly pseudoconvex hypersurface which is not holomorphically equivalent to any algebraic hypersurface
• Nonalgebraizable real analytic tubes in \(\mathbb{C}^n\)
• Rational dependence of smooth and analytic CR mappings on their jets
• Infinitesimal CR Automorphisms of Real Hypersurfaces
• Segre varieties and Lie symmetries

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