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

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

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Bibliographic Details
Published in:arXiv.org 2022-04
Main Authors: Banaszak, Grzegorz, Victoria Cantoral Farfán
Format: Article
Language:English
Subjects:
Number theory
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Summary:In this paper, we give a complete characterization of the component group of the Sato-Tate group of an abelian variety \(A\) of arbitrary dimension, defined over a number field \(K,\) in terms of the connectedness of the Lefschetz group associated to \(A.\)
ISSN:2331-8422