Abstract:We calculate the number of the isomorphism class of the finite flat models over the ring of integers of an absolutely ramified $p$-adic field of constant group schemes of rank two over finite fields by counting the rational points of a moduli space of finite flat models.
- Naoki Imai
- Affiliation: Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
- MR Author ID: 909477
- Email: firstname.lastname@example.org
- Received by editor(s): December 23, 2008
- Received by editor(s) in revised form: August 26, 2009, and January 30, 2010
- Published electronically: June 22, 2010
- Communicated by: Ted Chinburg
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
- Journal: Proc. Amer. Math. Soc. 138 (2010), 3827-3833
- MSC (2010): Primary 11G25; Secondary 14L15
- DOI: https://doi.org/10.1090/S0002-9939-2010-10524-5
- MathSciNet review: 2679606