Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB

Dupuy Taylor,Kedlaya Kiran,Roe David,Vincent Christelle

Arithmetic Geometry, Number Theory, and Computation（2021）

Cited 4|Views16

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Abstract

This document is intended to summarize the theory and methods behind fq_isog collection inside the ab_var database in the LMFDB as well as some observations gleaned from these databases. This collection consists of tables of Weil q-polynomials, which by the Honda-Tate theorem are in bijection with isogeny classes of abelian varieties over finite fields.

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Key words

abelian varieties,finite fields,lmfdb

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