Group schemes of period p>2

2008/06/16 by Victor Abrashkin, Abrashkin, Victor
Mathematics · #11G09 #14L15 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G09 #msc:14L15

paper · pdf · doi:10.48550/arxiv.0806.2588

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

arxiv created 2009/07/17 · arxiv updated 2009/12/01

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.

Related

• Frames and finite group schemes over complete regular local rings
• The relative Breuil-Kisin classification of p-divisible groups and finite flat group schemes
• Théorie de Dieudonné cristalline et périodes p-adiques
• The classification of p-divisible groups over 2-adic discrete valuation rings
• Galois modules arising from Faltings's strict modules