Ekedahl-Oort strata and the first Newton slope strata

DOI10.1090/S1056-3911-06-00451-6zbMath1113.14031MaRDI QIDQ3424130

Shushi Harashita

Publication date: 15 February 2007

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

zbMATH Keywords

Newton polygonabelian varietiesEkedahl-Oort strata

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Algebraic moduli of abelian varieties, classification (14K10) Arithmetic ground fields for abelian varieties (14K15)

Related Items

Generic Newton polygons of Ekedahl-Oort strata: Oort's conjecture ⋮ Families of Artin-Schreier curves with Cartier-Manin matrix of constant rank ⋮ The existence of supersingular curves of genus 4 in arbitrary characteristic ⋮ Truncations of level 1 of elements in the loop group of a reductive group. ⋮ Ekedahl-Oort strata contained in the supersingular locus and Deligne-Lusztig varieties ⋮ Cycle Classes of the E-O Stratification on the Moduli of Abelian Varieties ⋮ Successive extensions of minimal \(p\)-divisible groups ⋮ Codimensions of Newton strata for \(\text{SL}_3(F)\) in the Iwahori case.

Cites Work

• Minimal \(p\)-divisible groups
• Commutative group schemes
• Lectures on \(p\)-divisible groups
• Foliations in moduli spaces of abelian varieties
• Cycle Classes of the E-O Stratification on the Moduli of Abelian Varieties
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