Rapoport-Zink spaces of Hodge type

2013/08/26 by Wansu Kim, Kim, Wansu · 1 citation
Mathematics · #14F30 #14L05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1308.5537

openalex publication_date 2013/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

When p>2, we construct a Hodge-type analogue of Rapoport-Zink spaces under the unramifiedness assumption, as formal schemes parametrising "deformations" (up to quasi-isogeny) of p-divisible groups with certain crystalline Tate tensors. We also define natural rigid analytic towers with expected extra structure, providing more examples of "local Shimura varieties" conjectured by Rapoport and Viehmann.

Citations

• A guide to the reduction modulo p of Shimura varieties

Cited by

• Towards a p-adic nowhere density conjecture of Hecke Orbits

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