Geodesic
Frames and finite group schemes over complete regular local rings
Documenta mathematica, Tome 15 (2010), pp. 545-569
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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.
DOI : 10.4171/dm/306
Classification : 14F30, 14L05
Mots-clés : deformation theory, finite group scheme, p-divisible group, frame, window, Dieudonné display 
@article{10_4171_dm_306,
     author = {Eike Lau},
     title = {Frames and finite group schemes over complete regular local rings},
     journal = {Documenta mathematica},
     pages = {545--569},
     year = {2010},
     volume = {15},
     doi = {10.4171/dm/306},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/306/}
}
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DO  - 10.4171/dm/306
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%0 Journal Article
%A Eike Lau
%T Frames and finite group schemes over complete regular local rings
%J Documenta mathematica
%D 2010
%P 545-569
%V 15
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/306/
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Eike Lau. Frames and finite group schemes over complete regular local rings. Documenta mathematica, Tome 15 (2010), pp. 545-569. doi: 10.4171/dm/306

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