On torsion line bundles and torsion points on Abelian varieties

DOI10.1215/S0012-7094-98-09110-4zbMath1029.11020OpenAlexW1535308072MaRDI QIDQ1974782

Georgios Pappas

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-98-09110-4

zbMATH Keywords

Abelian schemesGalois module structure of rings of integerssubschemes of torsion points

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (4)

Galois module structure and Jacobians of Fermat curves ⋮ Class invariants: functional properties and application to kernel studies ⋮ Class-invariants: examples of higher-dimensional nonvanishing ⋮ Abelian varieties and arithmetic class invariants

Cites Work

• Elliptic curves with complex multiplication and Galois module structure
• Relative Galois module structure of rings of integers and elliptic functions. II
• Mordell-Weil groups and the Galois module structure of rings of integers
• A geometric description of the class invariant homomorphism
• Torsion points on elliptic curves and Galois module structure
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• A Note on Elliptic Curves and Galois Module Structure in Global Function Fields
• Principal Homogeneous Spaces and Group Scheme Extensions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On torsion line bundles and torsion points on Abelian varieties