On the \(\mu\)-ordinary locus of a Shimura variety

DOI10.1016/j.aim.2017.10.005zbMath1410.11069arXiv1705.08846OpenAlexW2963286719MaRDI QIDQ1673996

Sian Nie, Xuhua He

Publication date: 30 October 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08846

zbMATH Keywords

Shimura varieties\(\mu\)-ordinary loci

Mathematics Subject Classification ID

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

Related Items (6)

Harder-Narasimhan strata and 𝑝-adic period domains ⋮ Connected components of affine Deligne–Lusztig varieties for unramified groups ⋮ Partial Hasse invariants for Shimura varieties of Hodge-type ⋮ ON THE GEOMETRY OF THE PAPPAS–RAPOPORT MODELS FOR PEL SHIMURA VARIETIES ⋮ On the connected components of affine Deligne-Lusztig varieties ⋮ EKOR strata for Shimura varieties with parahoric level structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stratifications in the reduction of Shimura varieties
• Affine Grassmannians and the geometric Satake in mixed characteristic
• Kottwitz-Rapoport and \(p\)-rank strata in the reduction of Shimura varieties of PEL type
• On the connected components of affine Deligne-Lusztig varieties
• Mod \(p\) isogeny classes on Shimura varieties with parahoric level structure
• Fully Hodge-Newton decomposable Shimura varieties
• Minimal length elements in some double cosets of Coxeter groups.
• Projectivity of the Witt vector affine Grassmannian
• Geometric and homological properties of affine Deligne-Lusztig varieties
• Local models of Shimura varieties, I. Geometry and combinatorics
• Kottwitz-Rapoport conjecture on unions of affine Deligne-Lusztig varieties
• Vertexwise criteria for admissibility of alcoves
• Dimensions of some affine Deligne–Lusztig varieties
• Ordinariness in good reductions of shimura varieties of PEL-type
• On the reduction of the Hilbert-Blumenthal-moduli schem with Г0 (p)-level structure
• Serre–Tate theory for moduli spaces of PEL type
• Hecke algebras and $p$-adic groups
• Moduli of abelian varieties

This page was built for publication: On the \(\mu\)-ordinary locus of a Shimura variety