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

2023/08/07 by Maria Fox, Benjamin Howard, Fox, Maria +3
Mathematics · #11G18 #14G35 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2308.03816

openalex publication_date 2023/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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".

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