Sekiguchi-Suwa theory revisited

Mathematics – Number Theory

Scientific paper

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29 pages

Scientific paper

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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