The universal special formal $\mathcal{O}_{D}$-module for $d=2$

TL;DR

This paper provides a new proof of Drinfeld's theorem on the representability of the moduli space of special formal $\

Contribution

It offers an explicit construction of the display associated to the universal object for the case d=2, enhancing understanding of the moduli problem.

Findings

Explicit display construction for the universal object

New proof of Drinfeld's theorem for d=2

Clarification of the moduli space structure

Abstract

A new proof of an old theorem of Drinfeld concerning the representability of the moduli problem of special formal $\mathcal{O}_{D}$-modules by Deligne's $p$-adic formal model of Drinfeld's upper half-plane is given for $d=2.$ The display associated to the universal object is constructed explicitly.