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Sekiguchi-Suwa theory revisited

By Ariane Mézard, Matthieu Romagny and Dajano Tossici

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.Comment: 29 page

Topics: Mathematics - Number Theory, Mathematics - Algebraic Geometry, 14L15 (primary), 13F35 (secondary)
Year: 2011
OAI identifier: oai:arXiv.org:1104.2222
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