极小对、截断与圆盘胚
Minimal Pairs, Truncations and Diskoids
摘要:
我们建立在抽象的关键多项式和最小的Novacoski对之间的对应关系,并展示了如何将每个对象生成的估值。然后,我们可以对以这种方式构建的估值给出几何解释。要做到这一点,我们采用了一个对象称为diskoid,这是一个推广的经典概念的球在非阿基米德值领域。
英文摘要:
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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