English

Shimura subvarieties via endomorphisms

Algebraic Geometry 2021-09-16 v1

Abstract

We show the existence of two new Shimura subvarieties of A2,A3\mathcal{A}_2, \mathcal{A}_3 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\mathcal{A}_4 generically contained in the Prym locus.

Keywords

Cite

@article{arxiv.2109.07261,
  title  = {Shimura subvarieties via endomorphisms},
  author = {Irene Spelta},
  journal= {arXiv preprint arXiv:2109.07261},
  year   = {2021}
}
R2 v1 2026-06-24T05:59:11.790Z