Real-analytic hypersurfaces in complex manifolds

DOI10.1070/RM1985v040n02ABEH003556zbMath0588.32025OpenAlexW2009482604MaRDI QIDQ3715422

A. G. Vitushkin

Publication date: 1985

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1985v040n02abeh003556

zbMATH Keywords

surveyautomorphism groupreal-analytic hypersurface in \({\mathbb{C}}^ n\)continuation of holomorphic mapsgeometry of Chern-Moser chainsnon-spherical strictly pseudoconvex compact hypersurfaces

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Real submanifolds in complex manifolds (32V40) Complex Lie groups, group actions on complex spaces (32M05) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (14)

Extending proper holomorphic mappings of positive codimension ⋮ Remarks on the symmetries of a model hypersurface ⋮ Local symmetries of finite type hypersurfaces in \(\mathbb C^2\) ⋮ Convergence of the Chern-Moser-Beloshapka normal forms ⋮ Nonlinearizable CR automorphisms for polynomial models in \(\mathbb{C}^N\) ⋮ Some aspects of holomorphic mappings: a survey ⋮ Extension of holomorphic maps between real hypersurfaces of different dimension ⋮ Cauchy-Riemann automorphism groups that cannot be projectively realized ⋮ Equivalence problem for Bishop surfaces ⋮ Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary ⋮ Chern-Moser operators and polynomial models in CR geometry ⋮ Higher order symmetries of real hypersurfaces in ℂ³ ⋮ Holomorphically homogeneous real hypersurfaces in $\mathbb {C}^3$ ⋮ Algebraicity of real analytic hypersurfaces and blowing-down.

This page was built for publication: Real-analytic hypersurfaces in complex manifolds