On fields of totally $mathfrak{S}$-adic numbers. With an appendix by Florian Pop
On fields of totally $mathfrak{S}$-adic numbers. With an appendix by Florian Pop
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在完全 $mathfrak{S}$-adic 数的域上。
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Arno Fehm
中科院分区：
文献类型：
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作者：
L. Bary;Arno Fehm
这篇文章是根据2009年秋季希伯来大学的一堂名为《伯科维奇空间的模型理论》的课的笔记编写的，保留了课堂笔记的味道。它包括一个博览会的材料从引用{hhmcrelle}，引用{hhm}和引用{HL}，关于可定义类型的模型完成理论的价值领域，和分类的虚排序。后者给出了一个新的证明，基于可定义的类型，而不是不变的类型，并在{em泛型reparametrization}的概念。我也试图带出的关系，以几何的引用{HL} -稳定主导的可定义类型作为模型理论的化身的一个伯科维奇点。
The text is based on notes from a class entitled {em Model Theory of Berkovich Spaces}, given at the Hebrew University in the fall term of 2009, and retains the flavor of class notes. It includes an exposition of material from cite{hhmcrelle}, cite{hhm} and cite{HL}, regarding definable types in the model completion of the theory of valued fields, and the classification of imaginary sorts. The latter is given a new proof, based on definable types rather than invariant types, and on the notion of {em generic reparametrization}. I also try to bring out the relation to the geometry of cite{HL} - stably dominated definable types as the model theoretic incarnation of a Berkovich point.