arXiv Analytics

Sign in

arXiv:2003.05380 [math.NT]AbstractReferencesReviewsResources

Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB

Taylor Dupuy, Kiran Kedlaya, David Roe, Christelle Vincent

Published 2020-03-11Version 1

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.

Comments: 64 pages, 13 figures, 20 tables
Categories: math.NT
Subjects: 11G10, 14K15
Related articles: Most relevant | Search more
arXiv:1803.03698 [math.NT] (Published 2018-03-09)
Almost prime values of the order of abelian varieties over finite fields
arXiv:1012.5083 [math.NT] (Published 2010-12-22, updated 2011-10-11)
Homomorphisms of abelian varieties over geometric fields of finite characteristic
arXiv:math/0209076 [math.NT] (Published 2002-09-07, updated 2003-02-28)
Periods of abelian varieties

Links

Toolbox