Principal Homogeneous Spaces and Group Scheme Extensions

DOI10.2307/1995554zbMath0208.48401OpenAlexW4235452475MaRDI QIDQ5609059

William C. Waterhouse

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1995554

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group schemes (14L15)

Related Items (17)

Prismatic Dieudonné Theory ⋮ Galois structure and elliptic curves ⋮ Galois module structure and Jacobians of Fermat curves ⋮ Tame actions of group schemes: Integrals and slices ⋮ Extending torsors over regular models of curves ⋮ Extensions and torsors for finite group schemes ⋮ Cubic structures and ideal class groups☆ ⋮ Class invariants: functional properties and application to kernel studies ⋮ On torsion line bundles and torsion points on Abelian varieties ⋮ Class-invariants: examples of higher-dimensional nonvanishing ⋮ The Galois module structure of certain arithmetic principal homogeneous spaces ⋮ Abelian varieties and arithmetic class invariants ⋮ Résolvandes et espaces homogènes principaux de schémas en groupe ⋮ A geometric description of the class invariant homomorphism ⋮ The Picard invariant of a principal homogeneous space ⋮ A generalization of the norm residue symbol ⋮ Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring

Cites Work

• Hopf algebras and Galois theory
• Commutative group schemes
• Principal Homogeneous Spaces for Finite Group Schemes
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