Alcoves and \(p\)-rank of abelian varieties

DOI10.5802/aif.1930zbMath1046.14023arXivmath/0107223OpenAlexW1629993760WikidataQ102394834 ScholiaQ102394834MaRDI QIDQ1864231

Alain Genestier, Bao Châu Ngô

Publication date: 17 March 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0107223

zbMATH Keywords

stratificationmoduli spacebad reductionprincipally polarized abelian varietiesIwahori subgroup\(p\)-rank of abelian variety

Mathematics Subject Classification ID

Algebraic moduli of abelian varieties, classification (14K10)

Related Items (15)

COMPACTIFICATIONS OF PEL-TYPE SHIMURA VARIETIES IN RAMIFIED CHARACTERISTICS ⋮ Stratifying Lie strata of Hilbert modular varieties ⋮ The supersingular locus in Siegel modular varieties with Iwahori level structure ⋮ Ekedahl-Oort strata and Kottwitz-Rapoport strata ⋮ The \(p\)-rank stratification on the Siegel moduli space with Iwahori level structure ⋮ Irreducibility and \(p\)-adic monodromies on the Siegel moduli spaces ⋮ Supersingular Kottwitz–Rapoport strata and Deligne–Lusztig varieties ⋮ Analytic continuation on Siegel varieties ⋮ Compactification de variétés de Siegel aux places de mauvaise réduction ⋮ Minimal compactification and bad reduction ⋮ COMPACTIFICATIONS OF SUBSCHEMES OF INTEGRAL MODELS OF SHIMURA VARIETIES ⋮ Kottwitz-Rapoport and \(p\)-rank strata in the reduction of Shimura varieties of PEL type ⋮ EKOR strata for Shimura varieties with parahoric level structure ⋮ Abelian surfaces over totally real fields are potentially modular ⋮ Deligne–Lusztig varieties and basic EKOR strata

Cites Work

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• Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\)
• Test functions for Shimura varieties: the Drinfeld case
• On the flatness of local models for the symplectic group.
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Alcoves associated to special fibers of local models
• Period Spaces for "p"-divisible Groups (AM-141)
• Moduli of abelian varieties

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