域的初等几何局部-整体原理
Elementary geometric local-global principles for fields
摘要：
我们定义并研究了一个涉及排序和p-赋值的域的局部-全局原理。这个族包含PAC、PRC和PpC域，并穷尽了伪经典闭域类。我们证明了满足这种局部-整体原理的域构成一个基本类，承认全纯域的丢番图定义，并且它们的序满足强逼近性质。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
