论文标题
尺寸一的估值环作为平滑代数的限制
Valuation rings of dimension one as limits of smooth algebras
论文作者
论文摘要
就像Zariski的统一定理一样，我们表明的是，尺寸的特征$ p> 0 $的估值环$ v $是在某些超越程度的条件下的平滑$ {\ bf f} _p $ algebras的过滤直接限制。在轻度条件下，如果将平滑形态的直接限制过滤，则代数立即扩展估值环将其致密。
As in Zariski's Uniformization Theorem we show that a valuation ring $V$ of characteristic $p>0$ of dimension one is a filtered direct limit of smooth ${\bf F}_p$-algebras under some conditions of transcendence degree. Under mild conditions, the algebraic immediate extensions of valuation rings are dense if they are filtered direct limit of smooth morphisms.
