A dimension formula for Ekedahl-Oort strata.

DOI10.5802/aif.2029zbMath1062.14033arXivmath/0208161OpenAlexW2070104655MaRDI QIDQ1890166

B. J. J. Moonen

Publication date: 20 December 2004

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

Full work available at URL: https://arxiv.org/abs/math/0208161

zbMATH Keywords

abelian varietiesShimura varietiesfinite group schemes

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Modular and Shimura varieties (14G35) Group schemes (14L15)

Related Items (15)

A Stratification on the Moduli of K3 Surfaces in Positive Characteristic ⋮ The zeta functions of moduli stacks of \(G\)-zips and moduli stacks of truncated Barsotti-Tate groups ⋮ Ekedahl-Oort and Newton strata for Shimura varieties of PEL type ⋮ Serre–Tate theory for moduli spaces of PEL type ⋮ Finite groups scheme actions and incompressibility of Galois covers: beyond the ordinary case ⋮ The supersingular locus in Siegel modular varieties with Iwahori level structure ⋮ A local construction of zip period maps of Shimura varieties ⋮ On the boundary components of central streams ⋮ A geometric Jacquet-Langlands correspondence for \(\mathrm{U}(2)\) Shimura varieties ⋮ Mod p classification of Shimura F ‐crystals ⋮ COMPACTIFICATIONS OF SUBSCHEMES OF INTEGRAL MODELS OF SHIMURA VARIETIES ⋮ Familles de formes modulaires de Drinfeld pour le groupe général linéaire ⋮ On reduction of moduli schemes of abelian varieties with definite quaternion multiplications ⋮ On the Ekedahl-Oort stratification of Shimura curves ⋮ On the slope stratification of certain Shimura varieties

Cites Work

• Newton polygons and formal groups: Conjectures by Manin and Grothendieck
• Théorie de Dieudonné sur un anneau de valuation parfait
• Points on Some Shimura Varieties Over Finite Fields
• Purity of the stratification by Newton polygons
• Serre–Tate theory for moduli spaces of PEL type
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