Group schemes of period p>2

Abrashkin, Victor

Abstract

For a prime number p>2 we give a direct proof of Breuil's classification of finite flat group schemes killed by p over the valuation ring of a p-adic field with perfect residue field. As application we establesh a correspondence between finite flat group schemes and Faltings's strict modules whiich respects associated Galois modules via the Fontaine-Wintenberger field-of-norms functor.

Citation

Abrashkin, V. (2010). Group schemes of period p>2. Proceedings of the London Mathematical Society, 101(1), 207-259. https://doi.org/10.1112/plms/pdp052

• Journal Article Type: Article
• Publication Date: Jul 1, 2010
• Deposit Date: Feb 21, 2011
• Journal: Proceedings of the London Mathematical Society
• Print ISSN: 0024-6115
• Electronic ISSN: 1460-244X
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 101
• Issue: 1
• Pages: 207-259
• DOI: https://doi.org/10.1112/plms/pdp052