over finite fields. Using this we generalize and give some simple proofs of some well-known results on superspecialcurves. … In the following we use this idea to give some superspecialcurves as subcovers of the Hermitian curve. …
In this note we review a simple criterion, due to Ekedahl, for superspecial curves defined over finite fields.Using this we generalize and give some simple proofs for some well-known superspecial curves.