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arXiv · 2204.08388

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

Grzegorz Banaszak·Victoria Cantoral Farfán
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Abstract

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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Grzegorz Banaszak, Victoria Cantoral Farfán. 2022-04-18. A remark on the component group of the Sato-Tate group. https://arxiv.org/abs/2204.08388

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