Good and semi-stable reductions of Shimura varieties
From MaRDI portal
Publication:2307389
DOI10.5802/jep.123zbMath1473.11133arXiv1804.09615OpenAlexW3013106561MaRDI QIDQ2307389
Xuhua He, Michael Rapoport, Georgios Pappas
Publication date: 27 March 2020
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.09615
Related Items (12)
Regular integral models for Shimura varieties of orthogonal type ⋮ EXTREMAL CASES OF RAPOPORT–ZINK SPACES ⋮ Basic loci of Coxeter type with arbitrary parahoric level ⋮ The test function conjecture for local models of Weil-restricted groups ⋮ Normality and Cohen-Macaulayness of parahoric local models ⋮ On integral models of Shimura varieties ⋮ Smoothness of Schubert varieties in twisted affine Grassmannians ⋮ Local model of Hilbert-Siegel moduli schemes with \(\Gamma_1(p)\)-level structures ⋮ Incoherent Definite Spaces and Shimura Varieties ⋮ EKOR strata for Shimura varieties with parahoric level structure ⋮ On supersingular loci of Shimura varieties for quaternionic unitary groups of degree 2 ⋮ Grassmanniennes affines tordues sur les entiers
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local models of Shimura varieties and a conjecture of Kottwitz
- Stratifications in the reduction of Shimura varieties
- Purity results for \(p\)-divisible groups and Abelian schemes over regular bases of mixed characteristic
- Regular models of certain Shimura varieties
- On local models with special parahoric level structure
- Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.
- Affine Demazure modules and \(T\)-fixed point subschemes in the affine Grassmannian
- Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
- Representations of Coxeter groups and Hecke algebras
- Coverings of p-adic symmetric regions
- Local models for ramified unitary groups
- Singular loci of Schubert varieties
- Integral models of Shimura varieties with parahoric level structure
- The minimal degeneration singularities in the affine Grassmannians
- Kac-Moody groups, their flag varieties and representation theory
- On the flatness of local models for the symplectic group.
- The nil Hecke ring and singularity of Schubert varieties
- Characteristic cycles for the loop Grassmannian and nilpotent orbits.
- Smoothness of Schubert varieties in twisted affine Grassmannians
- On the coherence conjecture of Pappas and Rapoport
- On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
- Normality and Cohen-Macaulayness of parahoric local models
- Towards a theory of local Shimura varieties
- Local models of Shimura varieties, I. Geometry and combinatorics
- Kottwitz-Rapoport conjecture on unions of affine Deligne-Lusztig varieties
- Local models in the ramified case. I: The EL-case
- Period Spaces for "p"-divisible Groups (AM-141)
- ARITHMETIC MODELS FOR SHIMURA VARIETIES
- Local models in the ramified case. III Unitary groups
- The geometric Satake correspondence for ramified groups
- Local models for Weil-restricted groups
- The category $ \mathcal{MF}$ in the semistable case
- On the flatness of models of certain Shimura varieties of PEL-type
This page was built for publication: Good and semi-stable reductions of Shimura varieties