論文

査読有り
2002年1月

Rees algebras of F-regular type

JOURNAL OF ALGEBRA
  • N Hara
  • ,
  • K Watanabe
  • ,
  • K Yoshida

247
1
開始ページ
191
終了ページ
218
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1006/jabr.2001.9000
出版者・発行元
ACADEMIC PRESS INC ELSEVIER SCIENCE

We study the F-regularity of Rees algebras R(I) = A[It] in terms of the global F-regularity of the blowing-up X = Proj R(I) of Spec A. As it reads, global F-regularity is a global analog of strong F-regularity defined via splitting of Frobenius maps in prime characteristic, and these notions are extended to characteristic zero by reduction modulo p much greater than 0. We study in detail the case where (A, in) is a two-dimensional local ring and I is an m-primary ideal. In characteristic zero, the condition for R(I) to have F-regular type is described in terms of the dual graph of a resolution (X) over tilde on which Itheta((X) over tilde) is invertible. We also prove some miscellaneous results concerning singularities of Rees algebras and extended Rees algebras of higher dimension. (C) 2002 Elsevier Science.

Web of Science ® 被引用回数 : 10

リンク情報
DOI
https://doi.org/10.1006/jabr.2001.9000
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000173229900010&DestApp=WOS_CPL

エクスポート
BibTeX RIS