論文

査読有り
2006年9月

F-pure thresholds and F-jumping exponents in dimension two

MATHEMATICAL RESEARCH LETTERS
  • Nubuo Hara

13
5-6
開始ページ
747
終了ページ
760
記述言語
英語
掲載種別
研究論文(学術雑誌)
出版者・発行元
INT PRESS

Using an argument based on an idea of Monsky, we prove the rationality of the F-pure thresholds of curve singularities on a smooth surface defined over a finite field. More generally, we prove in this setting the rationality and discreteness of F-jumping exponents, the smallest positive one of which is the F-pure threshold. We also give a lower bound for F-pure thresholds in the homogeneous case.

Web of Science ® 被引用回数 : 22

リンク情報
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000243028500006&DestApp=WOS_CPL

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