The characteristic polynomials of abelian varieties of dimensions 4 over finite fields

TL;DR

This paper characterizes the set of possible characteristic polynomials for abelian varieties of dimension 4 over finite fields, providing a comprehensive description of their algebraic properties.

Contribution

It offers a complete classification of characteristic polynomials for 4-dimensional abelian varieties over finite fields, advancing understanding in algebraic geometry.

Findings

Complete description of characteristic polynomials for dimension 4 abelian varieties

Identification of algebraic constraints on these polynomials

Foundation for further classification of abelian varieties

Abstract

We describe the set of characteristic polynomials of abelian varieties of dimension 4 over finite fields.