O -displays and π-divisible formal O -modules
2016; Elsevier BV; Volume: 457; Linguagem: Inglês
10.1016/j.jalgebra.2016.03.002
ISSN1090-266X
AutoresTobias Ahsendorf, Chuangxun Cheng, Thomas Zink,
Tópico(s)Rings, Modules, and Algebras
ResumoIn this paper, we construct an O-display theory and prove that, under certain conditions on the base ring, the category of nilpotent O-displays and the category of π-divisible formal O-modules are equivalent. Starting with this result, we then construct a Dieudonné O-display theory and prove a similar equivalence between the category of Dieudonné O-displays and the category of π-divisible O-modules. We also show that this equivalence is compatible with duality. These results generalize the corresponding results of Zink and Lau on displays and p-divisible groups.
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