Algebraicity of real analytic hypersurfaces and blowing-down.

DOI10.1007/BF02922042zbMath1039.32008OpenAlexW2019797417MaRDI QIDQ1608530

Shanyu Ji

Publication date: 8 August 2002

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

Full work available at URL: https://doi.org/10.1007/bf02922042

zbMATH Keywords

real analytic hypersurfacesblowing down

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Germs of analytic sets, local parametrization (32B10) Holomorphic convexity (32E99) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (1)

Most real analytic Cauchy-Riemann manifolds are nonalgebraizable

Cites Work

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• Normal forms for real surfaces in \(C^ 2\) near tangents and hyperbolic surface transformations
• Global holomorphic extension of a local map and a Riemann mapping theorem for algebraic domains
• Real hypersurfaces in complex manifolds
• On the mapping problem for algebraic real hypersurfaces
• Algebraicity of holomorphic mappings between real algebraic sets in \(\mathbb{C}^ n\)
• An example of a real analytic strongly pseudoconvex hypersurface which is not holomorphically equivalent to any algebraic hypersurface
• Regularity of CR mappings between algebraic hypersurfaces
• Real-analytic hypersurfaces in complex manifolds
• Local geometric properties of real submanifolds in complex space

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