CHARACTERISTIC POLYNOMIALS OF SIMPLE ORDINARY ABELIAN VARIETIES OVER FINITE FIELDS

Abstract We provide an easy method for the construction of characteristic polynomials simple ordinary abelian varieties ${{\mathcal A}}$ dimension g over a finite field ${{\mathbb F}}_q$ , when $q\ge 4$ and $2g=\rho ^{b-1}(\rho -1)$ some prime $\rho \ge 5$ with $b\ge 1$ . Moreover, we show that is absolutely if $b=1$ prime, but not any $b>1$