Torsion points on some abelian surfaces of CM-type

被引：0

作者：

Nakamura, Tetsuo ^{[1
,2
]}

机构：

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

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

来源：

JOURNAL OF NUMBER THEORY | 2010年 / 130卷 / 04期

关键词：

Elliptic curve; Abelian surface; Complex multiplication; Torsion; Hecke character; COMPLEX MULTIPLICATION; ELLIPTIC-CURVES; VARIETIES;

D O I：

10.1016/j.jnt.2009.12.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1061 / 1067

页数：7

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