论文标题
属$ 0 $ prime功率水平的模块化曲线,该点在$ \ q $以外的数字字段上定义了点
Genus $0$ Modular curves of prime power level with a point defined over number fields other than $\Q$
论文作者
论文摘要
与$ \ gl_2(\ zhat)$满足条件$ -I \和$ \ det(g)\ subsetNeq(\ zhat)^{\ times} $相关的是满足$ -I \的$ \ gl_2(\ zhat)$ $ 0 $模块化曲线具有点。
Associated to an open subgroup $G$ of $\GL_2(\Zhat)$ satisfying conditions $-I \in G$ and $\det(G) \subsetneq (\Zhat)^{\times}$ there is a modular curve $X_G$ which is a smooth compact curve defined over an extension of $\Q.$ In this article, we give a complete list of all such prime power level genus $0$ modular curves with a point.