5 papers
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…
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…
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…
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…
Creating a dynamic database of finite groups
Lewis Combes, John W. Jones, Jennifer Paulhus +3
A database of abstract groups has been added to the L-functions and Modular Forms Database (LMFDB), available at https://www.lmfdb.org/Groups/Abstract/. We discuss the functionalit…