Frames and finite group schemes over complete regular local rings
Documenta mathematica, Tome 15 (2010), pp. 545-569.

Voir la notice de l'article dans Electronic Library of Mathematics

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.
Classification : 14L05, 14F30
Mots-clés : finite group scheme, $p$-divisible group, frame, window, deformation theory, Dieudonné display
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     author = {Lau, Eike},
     title = {Frames and finite group schemes over complete regular local rings},
     journal = {Documenta mathematica},
     pages = {545--569},
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     volume = {15},
     year = {2010},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/DOCMA_2010__15__a18/}
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Lau, Eike. Frames and finite group schemes over complete regular local rings. Documenta mathematica, Tome 15 (2010), pp. 545-569. https://geodesic-test.mathdoc.fr/item/DOCMA_2010__15__a18/