A note on Vasiu-Zink windows

TL;DR

This paper introduces a new framework of frames and windows to provide an alternative proof of the Vasiu-Zink classification of p-divisible groups over ramified regular local rings using Breuil windows.

Contribution

It presents a novel approach with frames and windows that simplifies the proof of the Vasiu-Zink classification theorem.

Findings

Alternative proof of Vasiu-Zink classification

Framework of frames and windows introduced

Simplifies understanding of p-divisible groups over ramified rings

Abstract

We propose a notion of frames and windows that allows an alternative proof of the Vasiu-Zink classification of p-divisible groups over ramified complete regular local rings by their Breuil windows.