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Sekiguchi-Suwa theory revisited. (English. French summary) Zbl 1291.14068

Summary: We present an account of the construction by S. Sekiguchi and N. Suwa [Tohoku Math. J., II. Ser. 53, No. 2, 203–240 (2001; Zbl 1073.14546)] 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.

MSC:

14L15 Group schemes
14L05 Formal groups, \(p\)-divisible groups
13F35 Witt vectors and related rings
11S31 Class field theory; \(p\)-adic formal groups

Citations:

Zbl 1073.14546
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References:

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