论文标题
混合特征情况下的弱正态性和拟态性
Weak normality and seminormality in the mixed characteristic case
论文作者
论文摘要
在本文中，我们给出了一些与混合特征中弱正态性和拟态性有关的局部环的例子。众所周知，两个概念在相等的主要特征情况下可能会有所不同，而它们在相等的特征零情况下重合。在混合特征情况下，现有文献中似乎没有任何明确的例子记录在现有文献中。我们还建立了在特定条件下混合特征中弱态性的局部伯蒂尼定理。
In this article, we give a few examples of local rings in relation to weak normality and seminormality in mixed characteristic. It is known that two concepts can differ in the equal prime characteristic case, while they coincide in the equal characteristic zero case. No explicit examples seem to be documented in the existing literature in the mixed characteristic case. We also establish the local Bertini theorem for weak normality in mixed characteristic under a certain condition.
