English

A remark on the component group of the Sato-Tate group

Number Theory 2022-04-19 v1

Abstract

In this paper, we give a complete characterization of the component group of the Sato-Tate group of an abelian variety AA of arbitrary dimension, defined over a number field K,K, in terms of the connectedness of the Lefschetz group associated to A.A.

Keywords

Cite

@article{arxiv.2204.08388,
  title  = {A remark on the component group of the Sato-Tate group},
  author = {Grzegorz Banaszak and Victoria Cantoral Farfán},
  journal= {arXiv preprint arXiv:2204.08388},
  year   = {2022}
}

Comments

v1: 14 pages. Comments are very welcome!