A relation between Dieudonne displays and crystalline Dieudonne theory

TL;DR

This paper explores the connection between crystalline Dieudonne theory and Dieudonne displays, extending the theory to include the case p=2, and showing that classification of finite flat group schemes applies there too.

Contribution

It extends Dieudonne displays theory to p=2 and demonstrates the classification of finite flat group schemes by Breuil-Kisin modules for this case.

Findings

Extended Dieudonne displays theory to p=2

Confirmed classification of finite flat group schemes by Breuil-Kisin modules for p=2

Strengthened the link between crystalline Dieudonne theory and displays

Abstract

We discuss the relation between crystalline Dieudonne theory and Dieudonne displays, with special emphasis on the case p=2. The theory of Dieudonne displays is extended to this case without restriction, which implies that the classification of finite flat group schemes by Breuil-Kisin modules holds for p=2 as well.