论文标题
在局部戒指的形态学定理上
On rank Theorems for morphisms of local rings
论文作者
论文摘要
我们证明了加布里埃洛夫（Gabrielov）对权力范围家族家族的排名定理，我们称之为W-Temperate。例子包括复杂的分析功能和爱森斯坦系列的家族。作为推论，我们在一般特征零完整的估值字段（不一定是代数关闭，也不是Archimedean）中为收敛序列提供等级定理。
We prove a generalization of Gabrielov's rank theorem for families of rings of power series which we call W-temperate. Examples include the families of complex analytic functions and of Eisenstein series. As a Corollary, we provide rank Theorems for convergent series in general characteristic zero complete valued fields (not necessarily algebraically closed, nor archimedean).
