On the analyticity of smooth CR maps into a real algebraic set
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Publication:1608717
DOI10.1016/S1631-073X(02)02392-0zbMath1010.32019MaRDI QIDQ1608717
Bernard Coupet, Alexandre B. Sukhov, Joël Merker, Sylvain Damour
Publication date: 14 October 2002
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
algebraic dependenceCR mappingmeromorphic extensiongeneric real-analytic submanifoldlocal holomorphic foliationreal analytic mappingreal-algebraic subsettranscendency degree
Related Items (7)
Analytic sets extending the graphs of holomorphic mappings between domains of different dimensions ⋮ Extension of holomorphic maps between real hypersurfaces of different dimension ⋮ Propagation of analyticity for essentially finite \(\mathcal C^\infty\)-smooth CR mappings ⋮ Analytic sets and extension of holomorphic maps of positive codimension ⋮ Extension of CR maps between real-analytic hypersurfaces of different dimensions ⋮ Sur la convergence d'applications formelles entre sous-variétés analytiques réelles. (On the convergence of formal mappings between real-analytic submanifolds) ⋮ Study of the analytic regularity of formal CR reflection mappings
Cites Work
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- Sur le prolongement holomorphe des fonctions CR définies sur une hypersurface réelle de classe \(C^ 2\) dans \({\mathbb{C}}^ n\). (Holomorphic continuation of CR-functions defined on a real hypersurface of class \(C^ 2\) in \({\mathbb{C}}^ n)\)
- Proper holomorphic mappings between real-analytic pseudoconvex domains in \({\mathbb{C}}^ n\)
- A reflection principle for degenerate real hypersurfaces
- On the analyticity of smooth CR mappings between real-analytic CR manifolds
- On the partial algebraicity of holomorphic mappings between two real algebraic sets
- Analyticité des applications
- On partial analyticity of CR mappings
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