English

Decomposition of Jacobian varieties and Shimura subvarieties in $A_g$

Algebraic Geometry 2023-11-28 v1

Abstract

Using the decomposition of Jacobians with group action, we prove the non-existence of some Shimura subvarieties in the moduli space of ppav AgA_{g} arising from families of dihedral and quaternionic covers of the complex projective line P1\mathbb{P}^1.

Keywords

Cite

@article{arxiv.2311.15789,
  title  = {Decomposition of Jacobian varieties and Shimura subvarieties in $A_g$},
  author = {Abolfazl Mohajer},
  journal= {arXiv preprint arXiv:2311.15789},
  year   = {2023}
}

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