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arXiv · 2311.15789

Decomposition of Jacobian varieties and Shimura subvarieties in $A_g$

Abolfazl Mohajer
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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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Abolfazl Mohajer. 2023-11-27. Decomposition of Jacobian varieties and Shimura subvarieties in $A_g$. https://arxiv.org/abs/2311.15789

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