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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Finite flat models of constant group schemes of rank two
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by Naoki Imai PDF
Proc. Amer. Math. Soc. 138 (2010), 3827-3833 Request permission

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.
References
  • M. Kisin, Moduli of finite flat group schemes, and modularity, Ann. of Math. (2) 170 (2009), no. 3, 1085–1180.
  • Michel Raynaud, Schémas en groupes de type $(p,\dots , p)$, Bull. Soc. Math. France 102 (1974), 241–280 (French). MR 419467
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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
  • MR Author ID: 909477
  • Email: naoki@ms.u-tokyo.ac.jp
  • 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