Artin's approximation theorems and Cauchy-Riemann geometry

DOI10.4310/MAA.2014.V21.N4.A5zbMath1302.32017MaRDI QIDQ479681

Nordine Mir

Publication date: 5 December 2014

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

zbMATH Keywords

CR manifoldholomorphic mapalgebraic mapArtin approximationformal map

Mathematics Subject Classification ID

Real algebraic sets (14P05) 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) CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20) Real-analytic sets, complex Nash functions (32C07) Nash functions and manifolds (14P20) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (5)

Nested Artin strong approximation property ⋮ Normal forms in Cauchy-Riemann geometry ⋮ Divergent CR-equivalences and meromorphic differential equations ⋮ Formal versus analytic CR mappings ⋮ Transcendental holomorphic maps between real algebraic manifolds in a complex space

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