PUB - Publikationen an der Universität Bielefeld

In 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 pi-divisible formal O-modules are equivalent. Starting with this result, we then construct a Dieudonne O-display theory and prove a similar equivalence between the category of Dieudonne O-displays and the category of pi-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. (C) 2016 Elsevier Inc. All rights reserved.