Lau, Eike

Frames and finite group schemes over complete regular local rings

Doc. Math., J. DMV 15, 545-569 (2010)


Summary: Let $p$ be an odd prime. We show that the classification of $p$-divisible groups by Breuil windows and the classification of commutative finite flat group schemes of $p$-power order by Breuil modules hold over every complete regular local ring with perfect residue field of characteristic $p$. We set up a formalism of frames and windows with an abstract deformation theory that applies to Breuil windows.

Mathematics Subject Classification

14L05, 14F30


finite group scheme, $p$-divisible group, frame, window, deformation theory, Dieudonné display