Simple \(p\)-kernels of \(p\)-divisible groups

DOI10.1016/j.aim.2005.03.015zbMath1093.14064OpenAlexW2124664096MaRDI QIDQ2577487

Frans Oort

Publication date: 22 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.aim.2005.03.015

zbMATH Keywords

finite group schemeBarsotti-Tate groupDieudonné module.

Mathematics Subject Classification ID

Formal groups, (p)-divisible groups (14L05)

Related Items

Ekedahl-Oort and Newton strata for Shimura varieties of PEL type ⋮ A Deuring criterion for abelian varieties ⋮ Stratifications of Newton polygon strata and Traverso's conjectures for \(p\)-divisible groups ⋮ Generic Newton polygons of Ekedahl-Oort strata: Oort's conjecture ⋮ Generalization of Deuring reduction theorem ⋮ Successive extensions of minimal \(p\)-divisible groups ⋮ Computational algorithm for reduction type of CM abelian varieties

Cites Work

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• Commutative group schemes
• Foliations in moduli spaces of abelian varieties
• Purity of the stratification by Newton polygons