The classification of $p$-divisible groups over $2$-adic discrete valuation rings

Let $\fo_K$ be a $2$-adic discrete valuation ring withperfect residue field $k$. We classify $p$-divisible groupsand $p$-power order finite flat group schemes over $\fo_K$in terms of certain Frobenius modules over$\Sig:=W(k)[[u]]$. We also show the compatibility withcrystalline Dieudonné theory and associated Galoisrepresentations. Our approach differs from Lau'sgeneralization of display theory, who independentlyobtained our result using display theory.

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Published 2 May 2012