Torsion points on some abelian surfaces of CM-type

DOI10.1016/J.JNT.2009.12.001zbMath1205.14056OpenAlexW2034165593MaRDI QIDQ963007

Tetsuo Nakamura

Publication date: 8 April 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.12.001

zbMATH Keywords

torsionelliptic curvecomplex multiplicationabelian surface

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Complex multiplication and moduli of abelian varieties (11G15) Complex multiplication and abelian varieties (14K22)

Cites Work

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• Abelian varieties over \(\mathbb Q\) associated with an imaginary quadratic field
• Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
• Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer
• A classification of \(\mathbb Q\)-curves with complex multiplication
• Galois properties of points of finite order of elliptic curves
• On the zeta-function of an abelian variety with complex multiplication
• On abelian varieties associated with elliptic curves with complex multiplication
• On the arithmetic of abelian varieties

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