Galois modules arising from Faltings's strict modules

Abrashkin, Victor

Abstract

Suppose that $O=\Bbb F_q[\pi ]$ is a polynomial ring and $R$ is a commutative unitary $O$-algebra. The category of finite group schemes over $R$ with a strict action of $O$ was recently introduced by Faltings and appears as an equal characteristic analogue of the classical category of finite flat group schemes in the equal characteristic case. In this paper we obtain a classification of these modules and apply it to prove analogues of properties that were known earlier for classical group schemes.

Citation

Abrashkin, V. (2006). Galois modules arising from Faltings's strict modules. Compositio Mathematica, 142(4), 867-888. https://doi.org/10.1112/s0010437x06002041

• Journal Article Type: Article
• Publication Date: 2006-07
• Deposit Date: Feb 22, 2008
• Journal: Compositio Mathematica
• Print ISSN: 0010-437X
• Electronic ISSN: 1570-5846
• Publisher: Cambridge University Press
• Peer Reviewed: Not Peer Reviewed
• Volume: 142
• Issue: 4
• Pages: 867-888
• DOI: https://doi.org/10.1112/s0010437x06002041
• Keywords: Group schemes, Galois modules.
• Public URL: https://durham-repository.worktribe.com/output/1567693
• Publisher URL: http://www.compositio.nl/