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arXiv · 0806.2588

Group schemes of period p>2

Victor Abrashkin
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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.

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Victor Abrashkin. 2009-07-17. Group schemes of period p>2. https://arxiv.org/abs/0806.2588

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