Kodai Mathematical Journal

Nilpotent admissible indigenous bundles via Cartier operators in characteristic three

Yuichiro Hoshi

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

In the present paper, we study the p-adic Teichmüller 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 étale 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 Teichmüller theory, respectively.

Article information

Source
Kodai Math. J., Volume 38, Number 3 (2015), 690-731.

Dates
First available in Project Euclid: 30 October 2015

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1446210603

Digital Object Identifier
doi:10.2996/kmj/1446210603

Mathematical Reviews number (MathSciNet)
MR3417530

Zentralblatt MATH identifier
1349.14093

Citation

Hoshi, Yuichiro. Nilpotent admissible indigenous bundles via Cartier operators in characteristic three. Kodai Math. J. 38 (2015), no. 3, 690--731. doi:10.2996/kmj/1446210603. https://projecteuclid.org/euclid.kmj/1446210603


Export citation