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

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2024年12月17日

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Grzegorz Banaszak,
Victoria Cantoral Farfán

摘要

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.