On Goren–Oort stratification for quaternionic Shimura varieties

DOI10.1112/S0010437X16007326zbMath1405.14061arXiv1308.0790MaRDI QIDQ2981937

Yichao Tian, Liang Xiao

Publication date: 10 May 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.0790

zbMATH Keywords

\(p\)-divisible groupsGoren-Oort stratificationquaternionic Shimura varieties

Mathematics Subject Classification ID

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

Related Items

Hirzebruch-Zagier cycles and twisted triple product Selmer groups ⋮ On the étale cohomology of Hilbert modular varieties with torsion coefficients ⋮ Arithmetic of Shimura varieties. Abstracts from the workshop held January 29 -- February 4, 2023 ⋮ Tate cycles on some unitary Shimura varieties mod \(p\) ⋮ UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES ⋮ The cohomology of Shimura varieties with torsion coefficients ⋮ Minimal weights of Hilbert modular forms in characteristic ⋮ Basic loci of Coxeter type with arbitrary parahoric level ⋮ Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups ⋮ An intriguing hyperelliptic Shimura curve quotient of genus 16 ⋮ Fully Hodge-Newton decomposable Shimura varieties ⋮ Tate cycles on some quaternionic Shimura varieties mod \(p\)

Cites Work

• Towards a geometric Jacquet-Langlands correspondence for unitary Shimura varieties
• Théorie de Dieudonne cristalline. II
• Universal extensions and one dimensional crystalline cohomology
• On the non ordinary locus in Hilbert-Blumenthal surfaces
• A geometric Jacquet-Langlands correspondence for \(\mathrm{U}(2)\) Shimura varieties
• Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné)
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Integral models for Shimura varieties of abelian type
• Hilbert modular forms and p-adic Hodge theory
• Points on Some Shimura Varieties Over Finite Fields
• Period Spaces for "p"-divisible Groups (AM-141)
• Travaux de Shimura
• 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