CR mappings of finite multiplicity and extension of proper holomorphic mappings

DOI10.1090/S0273-0979-1987-15513-3zbMath0627.32016MaRDI QIDQ3762841

Linda Preiss Rothschild, Mohamed Salah Baouendi, Steven R. Bell

Publication date: 1987

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

surveyCR mappingextension of proper holomorphic mappings

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Real submanifolds in complex manifolds (32V40) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Proper holomorphic mappings, finiteness theorems (32H35)

Related Items (5)

Extending proper holomorphic mappings of positive codimension ⋮ Germs of CR maps between real analytic hypersurfaces ⋮ Mappings of three-dimensional CR manifolds and their holomorphic extension ⋮ Proper holomorphic mappings between real-analytic pseudoconvex domains in \({\mathbb{C}}^ n\) ⋮ Multitype et applications holomorphes propres. (Multitype and proper holomorphic mappings)

Cites Work

• Unnamed Item
• On the analyticity of CR mappings
• Extension of proper holomorphic mappings past the boundary
• Proper self maps of weakly pseudoconvex domains
• Biholomorphic mappings between weakly pseudoconvex domains
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• Boundary regularity of proper holomorphic mappings

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