Elliptic subcovers of hyperelliptic curves

被引：2
|
作者：
Kani, Ernst [1 ]
机构：
[1] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada
来源：
MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 17-18期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Curve covers; elliptic curves; hyperelliptic curves; Jacobian varieties; rationality questions; GENUS; 2; THEOREM; NUMBER;
D O I：
10.1002/mana.201600530
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main result of this paper states that if.. is a hyperelliptic curve of even genus over an arbitrary field K, then there is a natural bijection between the set of equivalence classes of elliptic subcovers of C/K and the set of elliptic subgroups of its Jacobian J(C)/K.
引用
收藏
页码：2890 / 2900
页数：11
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