Shimura curves as intersections of Humbert surfaces and defining equations of QM-curves of genus two
A QM-curve is a curve of genus two whose Jacobian variety is an abelian surface with quaternion multiplication. In this paper, the authors consider fiber varieties over a Shimura curve whose fibers are QM-curves. They give an explicit defining equation for such a fiber variety when the discriminant of the associated quaternion algebra is six or ten.
scientific article; zbMATH DE number 794318
scientific article