On the Ekedahl-Oort stratification of Shimura curves

DOI10.2140/ant.2020.14.961zbMath1478.11088arXiv1810.08814OpenAlexW3100772920MaRDI QIDQ782343

Benjamin Howard

Publication date: 24 July 2020

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08814

zbMATH Keywords

Shimura varietiesEkedahl-Oort stratificationHodge-Tate period domainquaternionic Shimura curve

Mathematics Subject Classification ID

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

Cites Work

• Frames and finite group schemes over complete regular local rings
• Height pairings on Shimura curves and \(p\)-adic uniformization
• On the generic part of the cohomology of compact unitary Shimura varieties
• Which abelian surfaces are products of elliptic curves?
• A dimension formula for Ekedahl-Oort strata.
• Ekedahl-Oort and Newton strata for Shimura varieties of PEL type
• Moduli of \(p\)-divisible groups
• Dieudonné theory over semiperfect rings and perfectoid rings
• DISPLAYED EQUATIONS FOR GALOIS REPRESENTATIONS
• Berkeley Lectures on p-adic Geometry
• Ekedahl-Oort Strata for Good Reductions of Shimura Varieties of Hodge Type
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