Sekiguchi-Suwa theory revisited

Abstract : We present an account of the construction by S. Sekiguchi and N. Suwa of a cyclic isogeny of affine smooth group schemes unifying the Kummer and Artin-Schreier-Witt isogenies. We complete the construction over an arbitrary base ring. We extend the statements of some results in a form adapted to a further investigation of the models of the group schemes of roots of unity.
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Submitted on : Wednesday, February 22, 2012 - 10:06:23 AM
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Ariane Mézard, Matthieu Romagny, Dajano Tossici. Sekiguchi-Suwa theory revisited. Journal de theorie de nombres de Bordeaux, 2014, 26 (1), pp.163-200. ⟨10.5802/jtnb.863⟩. ⟨hal-00672824⟩



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