Computing base extensions of ordinary abelian varieties over finite fields

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Computing base extensions of ordinary abelian varieties over finite fields
 
Marseglia, Stefano
(2022) International Journal of Number Theory, volume 18, issue 9, pp. 1957 - 1974
(Article)
Abstract
We study base field extensions of ordinary abelian varieties defined over finite fields using the module theoretic description introduced by Deligne. As applications we give algorithms to determine the minimal field of definition of such a variety and to determine whether two such varieties are twists.
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Keywords: Abelian varieties, Field extension, Finite fields, Taverne, Algebra and Number Theory
DOI: https://doi.org/10.1142/S1793042122501007
ISSN: 1793-0421
Publisher: World Scientific Publishing Co. Pte Ltd
Note: Publisher Copyright: © 2022 World Scientific Publishing Company.
(Peer reviewed)
 
 
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