English

Sekiguchi-Suwa theory revisited

Number Theory 2011-04-13 v1 Algebraic Geometry

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.

Cite

@article{arxiv.1104.2222,
  title  = {Sekiguchi-Suwa theory revisited},
  author = {Ariane Mézard and Matthieu Romagny and Dajano Tossici},
  journal= {arXiv preprint arXiv:1104.2222},
  year   = {2011}
}

Comments

29 pages

R2 v1 2026-06-21T17:52:56.660Z