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.

引用

页码：2341 / 2355

页数：15

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