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math.NT2026
Ordinary abelian varieties: isogeny graphs and polarizations
Edgar Costa, Taylor Dupuy, Stefano Marseglia +2
Given an integer and an ordinary isogeny class of abelian varieties defined over a finite field with commutative -endomorphism algebra, we provide…
math.NT2025
Families of p-adic fields
Jordi Guàrdia Rúbies, John W. Jones, Kevin Keating +3
We improve the database of -adic fields in the LMFDB by systematically using Krasner-Monge polynomials and working relatively as well as absolutely. These improvements organize…
math.NT2025
Labeling abelian varieties over finite fields
Edgar Costa, Taylor Dupuy, Stefano Marseglia +2
We describe a deterministic process to associate a practical, permanent label to isomorphism classes of abelian varieties defined over finite fields with commutative endomorphism a…