Torsion points on some abelian surfaces of CM-type

JOURNAL OF NUMBER THEORY

卷:130

Article

Nakamura, Tetsuo^1,2 

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808575, Japan

[2] Waseda Univ, Res Inst Sci & Engn, Shinjuku Ku, Tokyo 1698555, Japan

关键词: Elliptic curve;    Abelian surface;    Complex multiplication;    Torsion;    Hecke character;   

DOI  :  10.1016/j.jnt.2009.12.001

来源: Elsevier

【 摘 要 】

Let A be a two-dimensional abelian variety of CM-type defined over Q. which is not simple over C. Let p be a prime number We show that torsion points of A(Q) of prime order p are possible only for p <= 7. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free