Frames and finite group schemes over complete regular local rings

Details Frames and finite group schemes over complete regular local rings Frames and finite group schemes over complete regular local rings

2009-08-31

arxiv.org/abs/0908.4588v1

Mathematics

Number Theory

22 pages

Scientific paper

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

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