Finite flat models of constant group schemes of rank two
Author:
Naoki Imai
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
Published electronically:
June 22, 2010
MathSciNet review:
2679606
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Abstract | References | Similar Articles | Additional Information
Abstract: We calculate the number of the isomorphism class of the finite flat models over the ring of integers of an absolutely ramified 
-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.
- 1. M. Kisin, Moduli of finite flat group schemes, and modularity, Ann. of Math. (2) 170 (2009), no. 3, 1085-1180.
- 2.
M. Raynaud, Schémas en groupes de type
, Bull. Soc. Math. France 102 (1974), 241-280. MR 0419467 (54:7488)
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Additional Information
Naoki Imai
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
Email:
naoki@ms.u-tokyo.ac.jp
DOI:
https://doi.org/10.1090/S0002-9939-2010-10524-5
Keywords:
Group scheme,
$p$-adic field
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
Article copyright:
© Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
