Jordan constants of abelian surfaces over finite fields

TL;DR

This paper determines the precise Jordan constants for abelian surfaces defined over finite fields, providing exact numerical values.

Contribution

It offers the first explicit computation of Jordan constants for abelian surfaces over finite fields.

Findings

Exact Jordan constants computed for abelian surfaces over finite fields

Provides foundational data for understanding automorphism groups in algebraic geometry

Enhances classification of abelian surfaces based on symmetry properties

Abstract

We compute the exact values of the Jordan constants of abelian surfaces over finite fields.