${\mathbb{F}}_{p^2}$-maximal curves with many automorphisms are Galois-covered by the Hermitian curve

Daniele Bartoli, Maria Montanucci, Fernando Torres

Let $\mathbb{F}$ be the finite field of order $q^2$, $q=p^h$ with $p$ prime. It is commonly atribute to J.P. Serre the fact that any curve $\mathbb{F}$-covered by the Hermitian cur…