论文标题

LMFDB中有限场上的Abelian品种的同类类别类别

Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB

论文作者

Dupuy, Taylor, Kedlaya, Kiran, Roe, David, Vincent, Christelle

论文摘要

该文档旨在总结LMFDB中AB_VAR数据库内FQ_ISOG集合背后的理论和方法,以及从这些数据库中收集的一些观察结果。该集合由Weil Q-Polynomials的表组成,本田定理与有限领域的Abelian品种相同的类别进行了培养。

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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