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Decomposition of Jacobian varieties and Shimura subvarieties in $A_g$

Published 27 Nov 2023 in math.AG | (2311.15789v1)

Abstract: Using the decomposition of Jacobians with group action, we prove the non-existence of some Shimura subvarieties in the moduli space of ppav $A_{g}$ arising from families of dihedral and quaternionic covers of the complex projective line $\mathbb{P}1$.

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