Group schemes of period p>2
Algebraic Geometry
2009-07-17 v2 Number Theory
Abstract
For a prime number p>2, we give a direct proof of Breuil's classification of killed by p finite flat group schemes over the valuation ring of a p-adic field with perfect residue field. As application we prove that the Galois modules of geometric points of such group schemes and of their characteristic p analogues coming from Faltings's strict modules can be identified via the Fontaine-Wintenberger field-of-norms functor.
Cite
@article{arxiv.0806.2588,
title = {Group schemes of period p>2},
author = {Victor Abrashkin},
journal= {arXiv preprint arXiv:0806.2588},
year = {2009}
}
Comments
technical corrections were made and new applications in Section 8 were added