Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms

Author(s)
Costa, Edgar; Lombardo, Davide; Voight, John
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Abstract
Abstract Assuming the Mumford–Tate conjecture, we show that the center of the endomorphism ring of an abelian variety defined over a number field can be recovered from an appropriate intersection of the fields obtained from its Frobenius endomorphisms. We then apply this result to exhibit a practical algorithm to compute this center.
Date issued
2021-06-30
URI
https://hdl.handle.net/1721.1/136851
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Springer International Publishing
Citation
Research in Number Theory. 2021 Jun 30;7(3):46
Version: Author's final manuscript
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