Computing base extensions of ordinary abelian varieties over finite fields
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2020
- DOI:
- 10.48550/arXiv.2003.09977
- arXiv:
- arXiv:2003.09977
- Bibcode:
- 2020arXiv200309977M
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Number Theory