Fields of moduli and definition of hyperelliptic covers
Fields of moduli and definition of hyperelliptic covers
复制标题
模域和超椭圆覆盖的定义
DOI：
10.1007/s00013-005-1433-8
复制
发表时间：
2006
影响因子：
0.6
通讯作者：
G. González‐diez
中科院分区：
文献类型：
--
作者：
Y. Fuertes;G. González‐diez
在本文中，对于所有genag>1，g^i 1 mod 4，我们构造一条显式超椭圆曲线，其模域为并且使得可以超椭圆定义的最小子域是其三阶扩展。这些例子与 Earle、Shimura 和 Mestre 之前的工作以及 Shaska 最近的猜想相关。
In this paper, for all generag>1,g≡ 1 mod 4, we construct an explicit hyperelliptic curve whose field of moduli isand such that the minimum subfield ofover which it can be hyperelliptically defined is a degree three extension of. These examples are related to previous work by Earle, Shimura, and Mestre and to a recent conjecture by Shaska.