Irreducibility and \(p\)-adic monodromies on the Siegel moduli spaces

DOI10.1016/j.aim.2008.03.008zbMath1144.11048arXivmath/0612839OpenAlexW2073994398MaRDI QIDQ927684

Chia-Fu Yu

Publication date: 9 June 2008

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

Full work available at URL: https://arxiv.org/abs/math/0612839

zbMATH Keywords

Siegel modular variety\(p\)-adic monodromy\(p\)-rank strata

Mathematics Subject Classification ID

Algebraic moduli of abelian varieties, classification (14K10) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (6)

Integral models of certain PEL Shimura varieties with \(\Gamma_1(p)\)-type level structure ⋮ The supersingular locus in Siegel modular varieties with Iwahori level structure ⋮ Supersingular Kottwitz–Rapoport strata and Deligne–Lusztig varieties ⋮ Stratifications in the reduction of Shimura varieties ⋮ EKOR strata for Shimura varieties with parahoric level structure ⋮ Abelian surfaces over totally real fields are potentially modular

Cites Work

• The supersingular loci and mass formulas on Siegel modular varieties
• Moduli of supersingular abelian varieties
• Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\)
• Alcoves and \(p\)-rank of abelian varieties
• Siegel varieties and \(p\)-adic Siegel modular forms
• Lectures on \(p\)-divisible groups
• On supersingular curves and Abelian varieties.
• Period Spaces for "p"-divisible Groups (AM-141)
• Moduli of abelian varieties
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