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.

中文翻译：

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最小的配对，截断和类磁盘

我们建立在抽象键多项式与Novacoski生成的极小对之间的对应关系的基础上，并说明如何关联每个对象生成的评估。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，我们使用了一个名为diskoid的对象，它是对非Archimedian值域中的ball的经典概念的概括。