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