Elementary geometric local-global principles for fields

被引：5
|
作者：
Fehm, Arno [1 ]
机构：
[1] Univ Konstanz, Fachbereich Math & Stat, Constance, Germany
来源：
ANNALS OF PURE AND APPLIED LOGIC | 2013年 / 164卷 / 10期
关键词：
Local-global principle; Diophantine definability; PSC; PRC; PpC; ABSOLUTE GALOIS GROUP;
D O I：
10.1016/j.apal.2013.05.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define and investigate a family of local-global principles for fields involving both orderings and p-valuations. This family contains the PAC, PRC and PpC fields and exhausts the class of pseudo classically closed fields. We show that the fields satisfying such a local-global principle form an elementary class, admit diophantine definitions of holomorphy domains, and their orderings satisfy the strong approximation property. (c) 2013 Elsevier B.V. All rights reserved.
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页码：989 / 1008
页数：20
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