An alternative description of the Drinfeld \(p\)-adic half-plane

DOI10.5802/aif.2878zbMath1316.11051arXiv1108.5713OpenAlexW2963722842MaRDI QIDQ486792

Michael Rapoport, Stephen S. Kudla

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5713

zbMATH Keywords

local fieldsBruhat-Tits treeDrinfeld half planeDrinfeld moduli problem

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Modular and Shimura varieties (14G35)

Related Items (8)

The Kudla-Rapoport conjecture at a ramified prime for 𝑈(1,1) ⋮ Construction of a Rapoport-Zink space for \(\mathrm{GU}(1,1)\) in the ramified 2-adic case ⋮ Special cycles on unitary Shimura curves at ramified primes ⋮ Kudla–Rapoport conjecture for Krämer models ⋮ IMPROPER INTERSECTIONS OF KUDLA–RAPOPORT DIVISORS AND EISENSTEIN SERIES ⋮ Regular formal moduli spaces and arithmetic transfer conjectures ⋮ The supersingular locus of the Shimura variety for \(\mathrm{GU}(1, n-1)\) over a ramified prime ⋮ Local densities of 2-adic quadratic forms

Cites Work

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• Special cycles on unitary Shimura varieties. II: Global theory
• Special cycles on unitary Shimura varieties. I: Unramified local theory
• The supersingular locus of the Shimura variety of \(\text{GU}(1,n-1)\). II
• Coverings of p-adic symmetric regions
• Intersections of special cycles on the Shimura variety for
• New cases of p-adic uniformization
• Local models of Shimura varieties, I. Geometry and combinatorics
• The Supersingular Locus of the Shimura Variety for GU(1, s)
• Schémas en groupes de type $(p,\ldots,p)$
• Period Spaces for "p"-divisible Groups (AM-141)

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