Mordell-Weil Groups of Generic Abelian Varieties in the Unitary Case

DOI10.2307/2046781zbMath0692.14028OpenAlexW4236861101MaRDI QIDQ3033895

Alice Silverberg

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046781

zbMATH Keywords

CM-fieldMordell-Weil groupslevel structuregeneric fibreendomorphism structuresystem of polarized abelian varieties

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and moduli of abelian varieties (11G15) Algebraic moduli of abelian varieties, classification (14K10) Complex multiplication and abelian varieties (14K22)

Related Items (2)

Finiteness of Mordell-Weil groups of Kuga fiber spaces of abelian varieties ⋮ Cohomology of fiber systems and Mordell-Weil groups of abelian varieties

Cites Work

• Mordell-Weil groups of generic Abelian varieties
• Moduli and fibre systems of abelian varieties
• On analytic families of polarized abelian varieties and automorphic functions
• Arithmetic of unitary groups
• On elliptic modular surfaces
• Finiteness of Mordell-Weil groups of generic Abelian varieties
• Starke Approximation in algebraischen Gruppen. I.

This page was built for publication: Mordell-Weil Groups of Generic Abelian Varieties in the Unitary Case