Group schemes of period p>2

Details Group schemes of period p>2 Group schemes of period p>2

2008-06-16

arxiv.org/abs/0806.2588v2

Mathematics

Algebraic Geometry

technical corrections were made and new applications in Section 8 were added

Scientific paper

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.

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