Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms

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 exhibit a practica...

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Bibliographic Details
Main Authors: Costa, Edgar (Author), Lombardo, Davide (Author), Voight, John (Author)
Format: Article
Language:English
Published: Springer International Publishing, 2021-11-01T14:33:47Z.
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Online Access:Get fulltext
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520 |a 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. 
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655 7 |a Article 

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