论文标题

最小对,截断和磁盘

Minimal Pairs, Truncations and Diskoids

论文作者

Benguş-Lasnier, Andrei

论文摘要

我们建立在novacoski制作的抽象关键多项式和最小对之间的对应关系的基础上,并展示了如何关联每个对象生成的估值。然后,我们可以对以这种方式建立的估值进行几何解释。为此,我们采用了一个称为Diskoid的对象,这是对非架构的价值领域中经典概念的概括。

We build on the correspondence between abstract key polynomials and minimal pairs made by Novacoski and show how to relate the valuations that are generated by each object. We can then give a geometric interpretation of valuations built in this fashion. To do so we employ an object called diskoid, which is a generalisation of the classical concept of ball in non-archimedian valued fields.

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