English

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

Number Theory 2024-09-25 v2

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".

Keywords

Cite

@article{arxiv.2308.03816,
  title  = {Rapoport-Zink spaces of type GU(2,n-2)},
  author = {Maria Fox and Benjamin Howard and Naoki Imai},
  journal= {arXiv preprint arXiv:2308.03816},
  year   = {2024}
}

Comments

Final version. To appear in Algebraic Geometry