Strongly minimal expansions of (C,+) definable in o-minimal fields

被引：5

作者：

Hasson, Assaf ^{[1
]}

Kowalski, Piotr ^{[2
]}

机构：

[1] Univ Oxford, Inst Math, Oxford OX1 3LB, England

[2] Univ Wroclaw, Inst Matemat, PL-50384 Wroclaw, Poland

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2008年 / 97卷

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1112/plms/pdm052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize those functions f : C --> C definable in o-minimal expansions of the reals for which the structure (C, +, f) is strongly minimal: such functions must be complex constructible, possibly after conjugating by a real matrix. In particular we prove a special case of the Zilber Dichotomy: an algebraically closed field is definable in certain strongly minimal structures which are definable in an o-minimal field.

引用

页码：117 / 154

页数：38