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arXiv · 2501.17012

Labeling abelian varieties over finite fields

Edgar Costa·Taylor Dupuy·Stefano Marseglia·David Roe·Christelle Vincent
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Abstract

We describe a deterministic process to associate a practical, permanent label to isomorphism classes of abelian varieties defined over finite fields with commutative endomorphism algebra as long as they are ordinary or defined over a prime field. In the ordinary case, we also provide labels for the polarizations they admit.

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Edgar Costa, Taylor Dupuy, Stefano Marseglia, David Roe, Christelle Vincent. 2025-01-28. Labeling abelian varieties over finite fields. https://arxiv.org/abs/2501.17012

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