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

页码：2890 / 2900

页数：11

共 12 条

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