Rapoport-Zink spaces of type GU(2,n-2)

TL;DR

This paper analyzes the structure of supersingular Rapoport-Zink spaces for unitary groups of signature (2,n-2), advancing understanding of their geometric properties without the perfection qualifier.

Contribution

It removes the 'up-to-perfection' qualifier from previous descriptions, providing a more complete understanding of the space's structure.

Findings

Detailed description of the supersingular Rapoport-Zink space structure

Extension of previous work to include non-perfected schemes

Clarification of irreducible components in the new setting

Abstract

We describe the structure of the supersingular Rapoport-Zink space associated to the group of unitary similitudes of signature (2,n-2) for an unramified quadratic extension of p-adic fields. In earlier work, two of the authors described the irreducible components in the category of schemes-up-to-perfection. The goal of this work is to remove the qualifier "up-to-perfection".