Local models for ramified unitary groups

DOI10.1007/BF02941269zbMath1053.14024arXivmath/0302025OpenAlexW2148608795MaRDI QIDQ1429137

D. Massart

Publication date: 18 May 2004

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302025

zbMATH Keywords

Shimura varietiesnearby cyclessemi-stable model

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (17)

The Kudla-Rapoport conjecture at a ramified prime for 𝑈(1,1) ⋮ Special cycles on unitary Shimura curves at ramified primes ⋮ A proof of the Kudla-Rapoport conjecture for Krämer models ⋮ Topological flatness of local models for ramified unitary groups. I: The odd dimensional case ⋮ Kudla–Rapoport conjecture for Krämer models ⋮ ON THE GEOMETRY OF THE PAPPAS–RAPOPORT MODELS FOR PEL SHIMURA VARIETIES ⋮ Special cycles on the basic locus of unitary Shimura varieties at ramified primes ⋮ Complex multiplication cycles and Kudla-Rapoport divisors ⋮ The supersingular locus of the Shimura variety for \(\mathrm{GU}(1, n-1)\) over a ramified prime ⋮ The test function conjecture for parahoric local models ⋮ The Satake isomorphism for special maximal parahoric Hecke algebras ⋮ Topological flatness of orthogonal local models in the split, even case. I ⋮ Local models in the ramified case. III Unitary groups ⋮ Heights of Kudla-Rapoport divisors and derivatives of \(L\)-functions ⋮ Good and semi-stable reductions of Shimura varieties ⋮ On two arithmetic theta lifts ⋮ Linear invariance of intersections on unitary Rapoport-Zink spaces

Cites Work

• Local models in the ramified case. I: The EL-case
• Period Spaces for "p"-divisible Groups (AM-141)
• On the flatness of models of certain Shimura varieties of PEL-type
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