An example of a real analytic strongly pseudoconvex hypersurface which is not holomorphically equivalent to any algebraic hypersurface
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Publication:1426889
DOI10.1007/BF02388792zbMath1038.32034MaRDI QIDQ1426889
Shanyu Ji, Xiaojun Huang, Stephen Shing-Toung Yau
Publication date: 15 March 2004
Published in: Arkiv för Matematik (Search for Journal in Brave)
Real-analytic and semi-analytic sets (14P15) Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Extension of functions and other analytic objects from CR manifolds (32V25) CR functions (32V10) Strongly pseudoconvex domains (32T15)
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Cites Work
- Normal forms for real surfaces in \(C^ 2\) near tangents and hyperbolic surface transformations
- Segre families and real hypersurfaces
- Real hypersurfaces in complex manifolds
- Algebraicity of holomorphic mappings between real algebraic sets in \(\mathbb{C}^ n\)
- On the unique continuation problem for CR mappings into nonminimal hypersurfaces
- Projective geometry and Riemann's mapping problem
- Regularity of CR mappings between algebraic hypersurfaces
- On the Riemann mapping theorem
- Local geometric properties of real submanifolds in complex space
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