On the non-existence of exceptional automorphisms on Shimura curves
On the non-existence of exceptional automorphisms on Shimura curves
We study the group of automorphisms of Shimura curves X0(D, N) attached to an Eichler order of square-free level N in an indefinite rational quaternion algebra of discriminant D>1. We prove that, when the genus g of the curve is greater than or equal to 2, Aut (X0(D, N)) is …