論文

査読有り
2015年6月

BERTINI THEOREM FOR NORMALITY ON LOCAL RINGS IN MIXED CHARACTERISTIC (APPLICATIONS TO CHARACTERISTIC IDEALS)

NAGOYA MATHEMATICAL JOURNAL
  • Tadashi Ochiai
  • ,
  • Kazuma Shimomoto

218
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
DOI
https://doi.org/10.1215/00277630-2891620
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000355384400005&DestApp=WOS_CPL
ID情報
  • DOI : 10.1215/00277630-2891620
  • ISSN : 0027-7630
  • eISSN : 2152-6842
  • Web of Science ID : WOS:000355384400005

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