Superspecial Points on Shimura Curves

Yasuhiro Terakado, Jiangwei Xue, Chia-Fu Yu

Let $X$ be the Shimura curve attached to an indefinite quaternion $\mathbb{Q}$-algebra $B$ with a maximal order $O_B$. This paper investigates the reduction $X\otimes {\mathbb{F}}_p$…