EKOR strata for Shimura varieties with parahoric level structure
From MaRDI portal
Publication:2059014
DOI10.1215/00127094-2021-0047zbMath1481.14049arXiv1910.07785OpenAlexW3200552093MaRDI QIDQ2059014
Xu Shen, Chia-Fu Yu, Chao Zhang
Publication date: 13 December 2021
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.07785
Related Items
Connected components of affine Deligne–Lusztig varieties for unramified groups ⋮ Partial Hasse invariants for Shimura varieties of Hodge-type ⋮ A local construction of zip period maps of Shimura varieties ⋮ Automorphic vector bundles on the stack ofG-zips
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
- Unnamed Item
- Schubert varieties in twisted affine flag varieties and local models
- Local models of Shimura varieties and a conjecture of Kottwitz
- The supersingular locus in Siegel modular varieties with Iwahori level structure
- Ekedahl-Oort strata and Kottwitz-Rapoport strata
- Relations between Dieudonné displays and crystalline Dieudonné theory
- Stratifications in the reduction of Shimura varieties
- Affine Grassmannians and the geometric Satake in mixed characteristic
- Algebraic zip data
- Kottwitz-Rapoport strata in the Siegel moduli spaces
- The supersingular loci and mass formulas on Siegel modular varieties
- Basic loci of Coxeter type in Shimura varieties
- Irreducibility and \(p\)-adic monodromies on the Siegel moduli spaces
- Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.
- Lifting abelian varieties with additional structures
- Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\)
- On the \(\mu\)-ordinary locus of a Shimura variety
- Generalized \(\mu\)-ordinary Hasse invariants
- Integral models of Shimura varieties with parahoric level structure
- Local models in the ramified case. II: Splitting models
- Alcoves and \(p\)-rank of abelian varieties
- On the flatness of local models for the symplectic group.
- On the connected components of affine Deligne-Lusztig varieties
- Mod \(p\) isogeny classes on Shimura varieties with parahoric level structure
- Geometric Satake, categorical traces, and arithmetic of Shimura varieties
- Fully Hodge-Newton decomposable Shimura varieties
- Good and semi-stable reductions of Shimura varieties
- Strata Hasse invariants, Hecke algebras and Galois representations
- \(l\)-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients
- \(F\)-zips with additional structure
- Siegel varieties and \(p\)-adic Siegel modular forms
- Minimal length elements in some double cosets of Coxeter groups.
- Ekedahl-Oort and Newton strata for Shimura varieties of PEL type
- Projectivity of the Witt vector affine Grassmannian
- Geometric and homological properties of affine Deligne-Lusztig varieties
- Truncations of level 1 of elements in the loop group of a reductive group.
- Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
- On central leaves of Hodge-type Shimura varieties with parahoric level structure
- Nonemptiness of Newton strata of Shimura varieties of Hodge type
- Local models of Shimura varieties, I. Geometry and combinatorics
- Kottwitz-Rapoport conjecture on unions of affine Deligne-Lusztig varieties
- Mod $p$ points on Shimura varieties of abelian type
- Parabolic character sheaves, III
- Vertexwise criteria for admissibility of alcoves
- Integral models for Shimura varieties of abelian type
- Closure of Steinberg Fibers and Affine Deligne-Lusztig Varieties
- Supersingular Kottwitz–Rapoport strata and Deligne–Lusztig varieties
- Points on Some Shimura Varieties Over Finite Fields
- Local models in the ramified case. I: The EL-case
- Affine Grassmannians and Geometric Satake Equivalences
- Period Spaces for "p"-divisible Groups (AM-141)
- Smoothness of the truncated display functor
- Affine Deligne–Lusztig varieties in affine flag varieties
- On Some Generalized Rapoport–Zink Spaces
- Local models in the ramified case. III Unitary groups
- Berkeley Lectures on p-adic Geometry
- Ekedahl-Oort Strata for Good Reductions of Shimura Varieties of Hodge Type
- Travaux de Shimura
- On the flatness of models of certain Shimura varieties of PEL-type
