Fully Hodge-Newton decomposable Shimura varieties

DOI10.1007/s42543-019-00013-2zbMath1465.11155arXiv1610.05381OpenAlexW2966709883MaRDI QIDQ2274233

Ulrich Görtz, Xuhua He, Sian Nie

Publication date: 19 September 2019

Published in: Peking Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.05381

zbMATH Keywords

affine Deligne-Lusztig varietiesNewton stratificationreduction of Shimura varietiesHodge-Newton decomposition

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Linear algebraic groups over local fields and their integers (20G25) Witt vectors and related rings (13F35)

Related Items (24)

A Harder–Narasimhan stratification of the -Grassmannian ⋮ Harder-Narasimhan strata and 𝑝-adic period domains ⋮ Dimension formula for the affine Deligne-Lusztig variety \(X(\mu, b)\) ⋮ On the \(\mu\)-ordinary locus of a Shimura variety ⋮ EXTREMAL CASES OF RAPOPORT–ZINK SPACES ⋮ Arithmetic of Shimura varieties. Abstracts from the workshop held January 29 -- February 4, 2023 ⋮ Connected components of affine Deligne–Lusztig varieties for unramified groups ⋮ On some simple geometric structure of affine Deligne-Lusztig varieties for \(\mathrm{GL}_n\) ⋮ On the superspecial loci of orthogonal type Shimura varieties ⋮ Fargues-Rapoport conjecture for \(p\)-adic period domains in the non-basic case ⋮ Basic loci of Coxeter type with arbitrary parahoric level ⋮ Geometric structure of affine Deligne-Lusztig varieties for \(\mathrm{GL}_3\) ⋮ On Some Generalized Rapoport–Zink Spaces ⋮ On the connected components of affine Deligne-Lusztig varieties ⋮ Mod \(p\) isogeny classes on Shimura varieties with parahoric level structure ⋮ \(p\)-adic étale cohomology of period domains ⋮ On the Bruhat-Tits stratification for GU(2,2) type Rapoport-Zink space: unramified case ⋮ Connected components of closed affine Deligne-Lusztig varieties for \(\text{Res}_{E/F} GL_n \) ⋮ Connected components of closed affine Deligne-Lusztig varieties ⋮ EKOR strata for Shimura varieties with parahoric level structure ⋮ On the Bruhat-Tits stratification of a quaternionic unitary Rapoport-Zink space ⋮ Stratifications of affine Deligne-Lusztig varieties ⋮ Deligne–Lusztig varieties and basic EKOR strata ⋮ Hodge-Newton filtration for \(p\)-divisible groups with ramified endomorphism structure

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