STEIN SPACES CHARACTERIZED BY THEIR ENDOMORPHISMS

被引：4
|
作者：
Andrist, Rafael B. [1 ]
机构：
[1] Univ Bern, Math Inst, CH-3012 Bern, Switzerland
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 363卷 / 05期
关键词：
Holomorphic endomorphism; Stein space; semigroup; density property; COMPLEX-MANIFOLDS; DENSITY PROPERTY; ALGEBRAIC GROUPS; C-N; SUBGROUPS; THEOREM;
D O I：
10.1090/S0002-9947-2010-05104-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Finite-dimensional Stein spaces admitting a proper holomorphic embedding of the complex line are characterized, among all complex spaces, by their holomorphic endomorphism semigroup in the sense that any semigroup isomorphism induces either a biholomorphic or an antibiholomorphic map between them.
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页码：2341 / 2355
页数：15
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