Labeling abelian varieties over finite fields
Number Theory
2025-08-04 v3 Algebraic Geometry
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.
Cite
@article{arxiv.2501.17012,
title = {Labeling abelian varieties over finite fields},
author = {Edgar Costa and Taylor Dupuy and Stefano Marseglia and David Roe and Christelle Vincent},
journal= {arXiv preprint arXiv:2501.17012},
year = {2025}
}
Comments
7 pages, minor revisions