A birational embedding with two Galois points for quotient curves
A birational embedding with two Galois points for quotient curves
复制标题
商曲线的两个伽罗瓦点的双有理嵌入
DOI：
10.1016/j.jpaa.2020.106525
复制
发表时间：
2021
影响因子：
0.8
通讯作者：
Higashine Kazuki
中科院分区：
文献类型：
--
作者：
Fukasawa Satoru;Higashine Kazuki
给出了商曲线存在两个Galois点的双有理嵌入的一个判别准则。我们应用我们的标准，以几个曲线，例如，一些循环subcovers的Giulietti-Könmáros曲线或曲线构造的Skabelund。新的例子，平面曲线与两个伽罗瓦点的描述，作为平面模型，这样的商曲线。
A criterion for the existence of a birational embedding with two Galois points for quotient curves is presented. We apply our criterion to several curves, for example, some cyclic subcovers of the Giulietti–Korchmáros curve or of the curves constructed by Skabelund. New examples of plane curves with two Galois points are described, as plane models of such quotient curves.