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Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)

     

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

Author(s): Ruslan Sharipov; Alexander Sukhov
Journal: Trans. Amer. Math. Soc. 348 (1996), 767-780.
MSC (1991): Primary 32D15, 32D99, 32F25, 32H99
MathSciNet review: 1325920
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Abstract | References | Similar articles | Additional information

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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Additional Information:

Ruslan Sharipov
Affiliation: Department of Mathematics, Bashkir State University, Frunze street 32, 450074 Ufa, Russia
Email: yavdat@bgua.bashkiria.su

Alexander Sukhov
Affiliation: CMI, Universite de Provence, 39 Rue F. Joliot-Curie, 13453 Marseille Cedex 13, France

DOI: 10.1090/S0002-9947-96-01506-1
PII: S 0002-9947(96)01506-1
Keywords: $CR$-mapping, reflection principle, algebraic $CR$-manifold, separate algebraicity
Received by editor(s): January 26, 1995
Additional Notes: Paper written under the financial support of the International Scientific Foundation of Soros, project \#RK4000
Copyright of article: Copyright 1996, American Mathematical Society




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