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

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.

arXiv commentComments are welcome

References in corpus (2)

• Sato-Tate distributions and Galois endomorphism modules in genus 2
• Sato-Tate Distributions

Cited by in corpus (1)

• On the Lang-Trotter conjecture for a class of non-generic abelian surfaces