Abelian varieties over \(\mathbb Q\) associated with an imaginary quadratic field

DOI10.3792/PJAA.83.152zbMath1206.11076OpenAlexW2031042129MaRDI QIDQ935596

Tetsuo Nakamura

Publication date: 11 August 2008

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1201012521

zbMATH Keywords

elliptic curvecomplex multiplicationAbelian varietyHecke character

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Complex multiplication and moduli of abelian varieties (11G15)

Related Items (1)

Torsion points on some abelian surfaces of CM-type

Cites Work

• Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
• Galois conjugacy of unramified twists of Hecke characters
• A classification of \(\mathbb Q\)-curves with complex multiplication
• On CM Abelian varieties over imaginary quadratic fields
• On the zeta-function of an abelian variety with complex multiplication

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