On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields

Abstract

In this article, we derive the list of the characteristic polynomials of the Frobenius endomorphism of simple supersingular abelian varieties of dimension $1,2,3,4,5,6,7$ over ${\mathbb{F}}_q$ where $q=p^n$, $n$ odd.