論文

査読有り
2015年10月

NILPOTENT ADMISSIBLE INDIGENOUS BUNDLES VIA CARTIER OPERATORS IN CHARACTERISTIC THREE

KODAI MATHEMATICAL JOURNAL
  • Yuichiro Hoshi

38
3
開始ページ
690
終了ページ
731
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.2996/kmj/1446210603
出版者・発行元
KINOKUNIYA CO LTD

In the present paper, we study the p-adic Teichmuller theory in the case where p = 3. In particular, we discuss nilpotent admissible/ordinary indigenous bundles over a projective smooth curve in characteristic three. The main result of the present paper is a characterization of the supersingular divisors of nilpotent admissible/ordinary indigenous bundles in characteristic three by means of various Cartier operators. By means of this characterization, we prove that, for every nilpotent ordinary indigenous bundle over a projective smooth curve in characteristic three, there exists a connected finite etale covering of the curve on which the indigenous bundle is not ordinary. We also prove that every projective smooth curve of genus two in characteristic three is hyperbolically ordinary. These two applications yield negative, partial positive answers to basic questions in the p-adic Teichmuller theory, respectively.

リンク情報
DOI
https://doi.org/10.2996/kmj/1446210603
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000367203200013&DestApp=WOS_CPL
ID情報
  • DOI : 10.2996/kmj/1446210603
  • ISSN : 0386-5991
  • Web of Science ID : WOS:000367203200013

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