On 𝐶𝑅-mappings between algebraic Cauchy-Riemann manifolds and separate algebraicity for holomorphic functions

Sharipov, Ruslan; Sukhov, Alexander

doi:10.1090/S0002-9947-96-01506-1

On $CR$-mappings between algebraic Cauchy-Riemann manifolds and separate algebraicity for holomorphic functions
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by Ruslan Sharipov and Alexander Sukhov PDF

Trans. Amer. Math. Soc. 348 (1996), 767-780 Request permission

Abstract:

We prove the algebraicity of smooth $CR$-mappings between algebraic Cauchy-Riemann manifolds. A generalization of separate algebraicity principle is established.

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