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Galois modules arising from Faltings's strict modules

Abrashkin, Victor

Authors



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Peer Reviewed Not Peer Reviewed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.
Publisher URL http://www.compositio.nl/

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