Shimura subvarieties via endomorphisms
Abstract
We show the existence of two new Shimura subvarieties of A2, A3 generically contained in the Torelli locus. They provide the first examples of Shimura subvarieties obtained by means of Jacobians carrying non-trivial endomorphisms not directly induced by the automorphisms of the curves. We also obtain a new example of a Shimura subvariety of A4 generically contained in the Prym locus.
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