English

Chebotarev-Sato-Tate distribution for abelian surfaces potentially of $\rm{GL}_2$-type

Number Theory 2023-10-03 v1

Abstract

In this paper, we state a hybrid Chebotarev-Sato-Tate conjecture for abelian varieties and we prove it in several particular cases using current potential automorphy theorems.

Keywords

Cite

@article{arxiv.2203.11498,
  title  = {Chebotarev-Sato-Tate distribution for abelian surfaces potentially of $\rm{GL}_2$-type},
  author = {Mohammed Amin Amri},
  journal= {arXiv preprint arXiv:2203.11498},
  year   = {2023}
}

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