Analytic sets and the boundary regularity of CR mappings (Q2716105)
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scientific article; zbMATH DE number 1602162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic sets and the boundary regularity of CR mappings |
scientific article; zbMATH DE number 1602162 |
Statements
Analytic sets and the boundary regularity of CR mappings (English)
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6 June 2001
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CR mapping
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finite type
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correspondence
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Segre variety
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The authors prove that if a continuous CR mapping between smooth real analytic hypersurfaces of finite type in \(\mathbb{C}^n\) extends as an analytic set, then it extends as a holomorphic mapping. As an application, the authors recover the theorem of Diederich-Fornaess (for \(n=2\)), which says that a proper holomorphic mapping between two bounded algebraic domains in \(\mathbb{C}^n\) extends holomorphically across the boundaries.
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