Special instances of Shimura varieties were originally introduced by Goro Shimura in the course of his generalization of the complex multiplication theory. Shimura showed that while initially defined analytically, they are arithmetic objects, in the sense that they admit models defined over a number field, the reflex field of the Shimura variety.
Special instances of Shimura varieties were initially introduced by Goro Shimura as part of his extension of complex multiplication theory. Shimura demonstrated that while originally defined analytically, they are arithmetic objects in the sense that they have models over a number field, which is known as the reflex field for the Shimura variety.