A classification of the automorphism groups of polarized abelian threefolds over finite fields

2020/11/20 by Hwang, WonTae, Im, Bo-Hae, Kim, Hansol
#11G10 #11G25 #14K02 #20B25 #Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2011.11419

Abstract

We give a classification of maximal elements of the set of finite groups that can be realized as the automorphism groups of polarized abelian threefolds over finite fields.

Related

• On a classification of the automorphism groups of polarized abelian surfaces over finite fields
• On the automorphism groups of simple polarized abelian fourfolds over finite fields and Jordan constants
• Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields
• Absolutely simple polarized abelian varieties of odd Sophie Germain prime dimension over finite fields with maximal automorphism groups
• Jacobians among abelian threefolds: a geometric approach