Hyperelliptic curves and homomorphisms to ideal class groups of quadratic number fields

JOURNAL OF NUMBER THEORY

卷:131

Article

Sivertsen, Tormod Kalberg¹  Soleng, Ragnar¹ 

[1] Univ Tromso, N-9037 Tromso, Norway

关键词: Hyperelliptic curves;    Quadratic fields;    Ideal class groups;   

DOI  :  10.1016/j.jnt.2011.05.002

来源: Elsevier

【 摘 要 】

For the function field K of hyperelliptic curves over Q we define a subgroup of the ideal class group called the group of Z-primitive ideals. We then show that there are homomorphisms from this subgroup to ideal class groups of certain quadratic number fields. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free