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math.NT2026
Distinguished defining polynomials for extensions of p-adic fields
Jordi Guàrdia i Rúbies, John W. Jones, Kevin Keating +3
We give an algorithm for choosing a distinguished defining polynomial for a p-adic field extension. This algorithm formed an important ingredient in the recent expansion of the dat…
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…