ON CR-MAPPINGS BETWEEN ALGEBRAIC CAUCHY-RIEMANN MANIFOLDS AND SEPARATE ALGEBRAICITY FOR HOLOMORPHIC FUNCTIONS

Sharipov R.; Sukhov A.

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ON CR-MAPPINGS BETWEEN ALGEBRAIC CAUCHY-RIEMANN MANIFOLDS AND SEPARATE ALGEBRAICITY FOR HOLOMORPHIC FUNCTIONS

机译：关于全同函数的代数Cauchy-Riemann流形和分离代数之间的CR-MAPPINGS

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摘要

We prove the algebraicity of smooth CR-mappings between algebraic Cauchy-Riemann manifolds. A generalization of separate algebraicity principle is established. [References: 21]

机译：我们证明了代数Cauchy-Riemann流形之间的光滑CR-映射的代数性。建立了单独代数原理的推广。 [参考：21]

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《Transactions of the American Mathematical Society》 |1996年第2期|共14页
作者
Sharipov R.; Sukhov A.;
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正文语种 eng
中图分类数学;
关键词
Cr-mapping; Reflection principle; Algebraic cr-manifold; Separate algebraicity;

机译：Cr映射;反射原理;代数cr流形;分开代数;

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专利

1. ON CR-MAPPINGS BETWEEN ALGEBRAIC CAUCHY-RIEMANN MANIFOLDS AND SEPARATE ALGEBRAICITY FOR HOLOMORPHIC FUNCTIONS [J] . Sharipov R., Sukhov A. Transactions of the American Mathematical Society . 1996,第2期

机译：关于全同函数的代数Cauchy-Riemann流形和分离代数之间的CR-MAPPINGS
2. Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds I [J] . Brudnyi Alexander, Kinzebulatov Damir Revista matematica iberoamericana . 2015,第3期

机译：关于Stein流形覆盖上的全纯函数代数的Oka-Cartan理论I
3. Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. II [J] . Brudnyi Alexander, Kinzebulatov Damir Revista matematica iberoamericana . 2015,第4期

机译：关于Stein流形覆盖上的全纯函数代数的Oka-Cartan理论。 II
4. Holomorphic Curves and Linear Systems in Algebraic Manifolds [C] . Yoshihiro Aihara International Society for Analysis, Applications, and Computation Congress . 2019

机译：代数歧管中的全旋曲线和线性系统
5. Three topics in analysis: (I) The fundamental theorem of calculus implies that of algebra, (II) Mini sums for the Riesz representing measure, and (III) Holomorphic domination and complex Banach manifolds similar to Stein manifolds. [D] . Mathew, Panakkal J. 2011

机译：分析中的三个主题：（I）微积分的基本定理表示代数的基本定理，（II）Riesz表示测度的最小和，以及（III）与Stein流形相似的全纯控制和复杂Banach流形。
6. On F-Algebras Mp (1 p ∞) of Holomorphic Functions [O] . Romeo Meštrović -1

机译：关于F代数M全纯函数的p（1 p ∞）
7. On $CR$ mappings between algebraic Cauchy--Riemann manifolds and separate algebraicity for holomorphic functions [O] . Sharipov, R. A., Sukhov, A. B. 1994

机译：关于代数Cauchy - Riemann流形与maTLaB之间的$ CR $映射全纯函数的单独代数

ON CR-MAPPINGS BETWEEN ALGEBRAIC CAUCHY-RIEMANN MANIFOLDS AND SEPARATE ALGEBRAICITY FOR HOLOMORPHIC FUNCTIONS

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