论文标题

分叉和分裂的领域有几个订单和估值

Forking and Dividing in Fields with Several Orderings and Valuations

论文作者

Johnson, Will

论文摘要

我们考虑使用几个订单,估值和$ p $估计的存在封闭的字段。我们表明,这些结构是有限负担的NTP $ _2 $,但通常具有独立财产。此外,分叉同意分裂,可以根据ACVF,RCF和$ P $ CF的分叉来表征分叉的特征。

We consider existentially closed fields with several orderings, valuations, and $p$-valuations. We show that these structures are NTP$_2$ of finite burden, but usually have the independence property. Moreover, forking agrees with dividing, and forking can be characterized in terms of forking in ACVF, RCF, and $p$CF.

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