Certain maximal curves and Cartier operators

Saeed Tafazolian | Garcia, Arnaldo

Keywords: finite fields | maximal curves | genus | Hasse-Witt invariant | Cartier operator | Fermat curves | Artin-Schreier curves | hyperelliptic curves

We give a characterization of certain maximal and minimal curves of types: Fermat, Artin-Schreier or hyperelliptic. The main tool is the Cartier operator, which is a nilpotent operator in the case of such curves.

Anexos:

• cartiermaximal.pdf