Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms

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 exh...

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Bibliographic Details
Main Authors: Costa, Edgar, Lombardo, Davide, Voight, John
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer International Publishing 2021
Online Access:https://hdl.handle.net/1721.1/136851