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Shimura subvarieties via endomorphisms

Shimura subvarieties via endomorphisms

We prove that there exist two families in ℳ 2 ,ℳ 3 of non-Galois covers of the projective line whose Jacobians trace out Shimura subvarieties of 𝒜 2 ,𝒜 3 . They provide the first two explicit examples of Shimura subvarieties obtained by means of Jacobians carrying non-trivial endomorphisms not …