A duality theorem for Dieudonne displays

TL;DR

This paper proves that the Zink equivalence between p-divisible groups and Dieudonne displays over certain rings respects duality, using a new explicit formula for the associated p-divisible group.

Contribution

It establishes the compatibility of duality with the Zink equivalence and introduces a new explicit formula for the p-divisible group from a Dieudonne display.

Findings

Zink equivalence is compatible with duality.

New explicit formula for p-divisible groups from Dieudonne displays.

Enhances understanding of the structure of p-divisible groups.

Abstract

We show that the Zink equivalence between p-divisible groups and Dieudonne displays over a complete local ring with perfect residue field of characteristic p is compatible with duality. The proof relies on a new explicit formula for the p-divisible group associated to a Dieudonne display.