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:Research in number theory 2025-03, Vol.11 (1), Article 15
Main Authors: Banaszak, Grzegorz, Farfán, Victoria Cantoral
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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:2522-0160
2363-9555
DOI:10.1007/s40993-024-00555-0