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

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arxiv 2308.03816 v2 pith:LNBNVUEW submitted 2023-08-07 math.NT

Maria Fox , Benjamin Howard , Naoki Imai This is my paper
classification math.NT
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The Bruhat-Tits stratification for basic unramified $GU(1,n-1)$ Rapoport-Zink spaces at arbitrary parahoric level

    math.NT 2025-10 conditional novelty 6.0 of 10

    At arbitrary parahoric level, the reduced special fiber of the GU(1,n−1) Rapoport-Zink space is stratified by closures of fine Deligne-Lusztig varieties, with incidence controlled by Bruhat-Tits indices and n−m+1 J(E)...

  2. The basic locus of ramified unitary Shimura varieties of signature $(n-1,1)$ at maximal vertex level

    math.AG 2025-02 unverdicted novelty 6.0 of 10

    Constructs Bruhat-Tits stratification for ramified unitary Rapoport-Zink space of signature (n-1,1) at vertex lattice level, proves normality, Cohen-Macaulayness and dimension formulas, and gives scheme-theoretic isom...

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