2015年10月
NILPOTENT ADMISSIBLE INDIGENOUS BUNDLES VIA CARTIER OPERATORS IN CHARACTERISTIC THREE
KODAI MATHEMATICAL JOURNAL
- 巻
- 38
- 号
- 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
- ID情報
-
- DOI : 10.2996/kmj/1446210603
- ISSN : 0386-5991
- Web of Science ID : WOS:000367203200013