Curves over Finite Fields attaining the Hasse-Weil upper bound

Arnaldo Garcia

Keywords: maximal curves | finite fields | Hasse-Weil bound | jacobian variety

This paper gives a survey on curves over finite fields attaining the Hasse-Weil upper bound(the so-called maximal curves).It contains results on their possible genera,on their classification problem and on their explicit equations.

Anexos:

• maxbarc.pdf