WEAK NORMALITY AND SEMINORMALITY IN THE MIXED CHARACTERISTIC CASE

被引：0

作者：

Horiuchi, Jun ^{[1
]}

Shimomoto, Kazuma ^{[2
]}

机构：

[1] Nippon Inst Technol, Dept Math, Miyashiro, Japan

[2] Nihon Univ, Coll Humanities & Sci, Dept Math, Tokyo, Japan

来源：

JOURNAL OF COMMUTATIVE ALGEBRA | 2022年 / 14卷 / 03期

关键词：

HYPERPLANE SECTIONS; BERTINI THEOREMS; SCHEMES;

D O I：

10.1216/jca.2022.14.351

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study certain properties of Noetherian rings with weak normality and seminormality in mixed characteristic. It is known that the two concepts can differ in the equal prime characteristic case, while they coincide by definition in the equal characteristic zero case. We exhibit some examples in the mixed characteristic case. We also establish the local Bertini theorem for weak normality in mixed characteristic under a certain condition.

引用

页码：351 / 363

页数：13

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