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

被引：16

作者：

Sharipov, R ^{[1
]}

Sukhov, A ^{[1
]}

机构：

[1] UNIV AIX MARSEILLE 1,CMI,F-13453 MARSEILLE 13,FRANCE

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 348卷 / 02期

关键词：

CR-mapping; reflection principle; algebraic CR-manifold; separate algebraicity;

D O I：

10.1090/S0002-9947-96-01506-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：767 / 780

页数：14

共 21 条

[1] HOLOMORPHIC MAPPINGS FROM BALL AND POLYDISK [J].

ALEXANDER, H .

MATHEMATISCHE ANNALEN, 1974, 209 (03) :249-256

[2]

Bochner S., 1948, SEVERAL COMPLEX VARI

[3] HOLOMORPHIC EXTENSION OF CR FUNCTIONS [J].

BOGGESS, A ;

POLKING, JC .

DUKE MATHEMATICAL JOURNAL, 1982, 49 (04) :757-784

[4]

CHIRKA EM, 1991, USP MAT NAUK, V46, P81

[5] MAPPINGS OF QUADRIC CAUCHY-RIEMANN MANIFOLDS [J].

FORSTNERIC, F .

MATHEMATISCHE ANNALEN, 1992, 292 (01) :163-180

[6]

Lang S., 1965, ALGEBRA

[7]

Pelles D., 1971, Math. Ann, V190, P298, DOI [10.1007/BF01431158, DOI 10.1007/BF01431158]

[8]

Pinchuk S. I., 1974, Mathematical Notes of the Academy of Sciences of the USSR, V15, P205, DOI DOI 10.1007/BF02102390

[9]

Poincare H., 1907, Rend. Circ. Mat. Palermo, V23, P185

[10]

Reed M., 1972, Functional Analysis, V1

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