Finite locally free group schemes in characteristic \(p\) and Dieudonné modules

DOI10.1007/BF01232664zbMath0812.14030MaRDI QIDQ1319211

A. Johan de Jong

Publication date: 23 May 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144143

zbMATH Keywords

characteristic \(p\)Frobenius mapcrystalline cohomologyDieudonné modules\(p\)- divisible groups\(p\)-group schemes

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) (p)-adic cohomology, crystalline cohomology (14F30) Formal groups, (p)-divisible groups (14L05) Group schemes (14L15)

Related Items (11)

Théorie de Dieudonné cristalline et périodes $p$-adiques ⋮ Prismatic Dieudonné Theory ⋮ Crystalline Dieudonné module theory via formal and rigid geometry ⋮ Essential dimension of group schemes over a local scheme ⋮ On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises ⋮ Ekedahl-Oort strata contained in the supersingular locus and Deligne-Lusztig varieties ⋮ Hopf orders in \(K [ C_p^3\) in characteristic \(p\)] ⋮ Crystalline boundedness principle ⋮ On the \(p\)-torsion of the Tate-Shafarevich group of abelian varieties over higher dimensional bases over finite fields ⋮ Dieudonné theory over semiperfect rings and perfectoid rings ⋮ Primitively generated Hopf orders in characteristicp

Cites Work

• Théorie de Dieudonne cristalline. II
• Universal extensions and one dimensional crystalline cohomology
• Commutative group schemes
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes
• Group schemes of prime order

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