论文标题
在稳定和固定的多项式上
On stable and fixed polynomials
论文作者
论文摘要
令$ν$为$ k [x] $和$ψ_n$的等级估值一组为$ n $ $ n $的$ν$的键多项式。我们讨论为$ψ_n$ stable和$(ψ_n,q)$ - 修复的概念。我们讨论这两个概念何时重合。我们使用此讨论来提供[5]的命题8.2和[5]定理1.2的简单证明。
Let $ν$ be a rank one valuation on $K[x]$ and $Ψ_n$ the set of key polynomials for $ν$ of degree $n\in\N$. We discuss the concepts of being $Ψ_n$-stable and $(Ψ_n,Q)$-fixed. We discuss when these two concepts coincide. We use this discussion to present a simple proof of Proposition 8.2 of [5] and Theorem 1.2 of [5].