Contents Online
Mathematical Research Letters
Volume 19 (2012)
Number 1
The classification of $p$-divisible groups over $2$-adic discrete valuation rings
Pages: 121 – 141
DOI: https://dx.doi.org/10.4310/MRL.2012.v19.n1.a10
Author
Abstract
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.
Published 2 May 2012