论文标题
局部统一的Abhyankar估值
Local Uniformization of Abhyankar Valuations
论文作者
论文摘要
我们证明，在基地k上，代数函数场k的abhyankar估值的局部均匀化。我们的结果概括了这一结果的证明，并以Hagen Knaf和Franz-Viktor Kuhlmann在K上分离的估值环的残留场是可分离的。本文中的证明使用了不同的方法，灵感来自Zariski和Abhyankar的方法。
We prove local uniformization of Abhyankar valuations of an algebraic function field K over a ground field k. Our result generalizes the proof of this result, with the additional assumption that the residue field of the valuation ring is separable over k, by Hagen Knaf and Franz-Viktor Kuhlmann. The proof in this paper uses different methods, being inspired by the approach of Zariski and Abhyankar.
