Foliations on unitary Shimura varieties in positive characteristic

DOI10.1112/S0010437X18007406zbMath1457.11086arXiv1707.08102MaRDI QIDQ4962336

Ehud de Shalit, Eyal Z. Goren

Publication date: 2 November 2018

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

Full work available at URL: https://arxiv.org/abs/1707.08102

zbMATH Keywords

Shimura varietiesfoliationsEkedahl-Oort strata

Mathematics Subject Classification ID

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

Related Items (3)

Foliations on Shimura varieties in positive characteristic ⋮ Theta operators on unitary Shimura varieties ⋮ On the Bad Reduction of Certain U(2, 1) Shimura Varieties

Cites Work

• A theta operator on Picard modular forms modulo an inert prime
• Local models of Shimura varieties and a conjecture of Kottwitz
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• The \(\mu\)-ordinary Hasse invariant of unitary Shimura varieties
• Ekedahl-Oort and Newton strata for Shimura varieties of PEL type
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Points on Some Shimura Varieties Over Finite Fields
• Schémas en groupes de type $(p,\ldots,p)$
• Serre–Tate theory for moduli spaces of PEL type
• Period Spaces for "p"-divisible Groups (AM-141)
• CONGRUENCE RELATIONS FOR SHIMURA VARIETIES ASSOCIATED TO SOME UNITARY GROUPS
• Characterizations of Regular Local Rings of Characteristic p
• On the flatness of models of certain Shimura varieties of PEL-type
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