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arXiv · 2003.05380

Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB

Taylor Dupuy·Kiran Kedlaya·David Roe·Christelle Vincent
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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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Taylor Dupuy, Kiran Kedlaya, David Roe, Christelle Vincent. 2020-03-11. Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB. https://arxiv.org/abs/2003.05380

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