论文标题
关于与抽象关键多项式相关的链
On chains associated with abstract key polynomials
论文作者
论文摘要
在本文中，对于henselian有价值的字段$（k，v）任意等级的$ w $ $ v $ to $ k（x），我们使用$ w $的抽象密钥多项式来提供完整的集合，饱和的杰出链条和Okutsu框架之间的连接。此外，对于有价值的字段$（k，v），我们还获得了$ w $的完整abkps和$ w的Maclane-Vaquié链之间的密切联系。
In this paper, for a henselian valued field $(K, v)$ of arbitrary rank and an extension $w$ of $v$ to $K(X),$ we use abstract key polynomials for $w$ to give a connection between complete sets, saturated distinguished chains and Okutsu frames. Further, for a valued field $(K, v),$ we also obtain a close connection between complete set of ABKPs for $w$ and Maclane-Vaquié chains of $w.$
