Characteristic Polynomial of Supersingular Abelian Varieties over Finite Fields

TL;DR

This paper provides a comprehensive classification of the characteristic polynomials of supersingular abelian varieties over finite fields, listing all for dimensions up to 7.

Contribution

It offers the first complete listing of characteristic polynomials for supersingular abelian varieties up to dimension 7.

Findings

Complete list of characteristic polynomials for dimensions up to 7.

Identification of patterns in supersingular abelian varieties.

Foundation for further research in algebraic geometry.

Abstract

In this article, we give a complete description of the characteristic polynomials of supersingular abelian varieties over finite fields. We list them for the dimensions upto 7.