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On -mappings between algebraic Cauchy-Riemann manifolds and separate algebraicity for holomorphic functions
Authors:Ruslan Sharipov   Alexander Sukhov
Affiliation:Department of Mathematics, Bashkir State University, Frunze street 32, 450074 Ufa, Russia ; CMI, Universite de Provence, 39 Rue F. Joliot-Curie, 13453 Marseille Cedex 13, France
Abstract:We prove the algebraicity of smooth $CR$-mappings between algebraic Cauchy-Riemann manifolds. A generalization of separate algebraicity principle is established.

Keywords:$CR$-mapping   reflection principle   algebraic $CR$-manifold   separate algebraicity
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