Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Finite flat models of constant group schemes of rank two

Author(s): Naoki Imai
Journal: Proc. Amer. Math. Soc. 138 (2010), 3827-3833.
MSC (2010): Primary 11G25; Secondary 14L15
Posted: 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.

References:

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 $(p,\ldots,p)$ , 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: 10.1090/S0002-9939-2010-10524-5
PII: S 0002-9939(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
Posted: June 22, 2010
Communicated by: Ted Chinburg
Copyright of article: Copyright 2010, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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