2015年6月
BERTINI THEOREM FOR NORMALITY ON LOCAL RINGS IN MIXED CHARACTERISTIC (APPLICATIONS TO CHARACTERISTIC IDEALS)
NAGOYA MATHEMATICAL JOURNAL
- ,
- 巻
- 218
- 号
- 開始ページ
- 125
- 終了ページ
- 173
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1215/00277630-2891620
- 出版者・発行元
- DUKE UNIV PRESS
In this article, we prove a strong version of the local Bertini theorem for normality on local rings in mixed characteristic. The main result asserts that a generic hyperplane section of a normal, Cohen-Macaulay, and complete local domain of dimension at least 3 is normal. Applications include the study of characteristic ideals attached to torsion modules over normal domains, which is fundamental in the study of Euler system theory, Iwasawa's main conjectures, and the deformation theory of Galois representations.
- リンク情報
- ID情報
-
- DOI : 10.1215/00277630-2891620
- ISSN : 0027-7630
- eISSN : 2152-6842
- Web of Science ID : WOS:000355384400005