Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms
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40993_2021_264_ReferencePDF.pdf
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Author(s)
Costa, Edgar
Lombardo, Davide
Voight, John
Date Issued
June 30, 2021
Publisher
Springer International Publishing
Citation
Research in Number Theory. 2021 Jun 30;7(3):46
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s40993-021-00264-y
