Some families of supersingular Artin-Schreier curves in characteristic > 2
Abstract
In this short paper we prove that the following two 1-dimensional families of Artin-Schreier curves are supersingular: y7 - y = x5 + c.x2 over F7 y5 - y = x7 + c.x over F5 (for some parameter c). Our method is developed upon the p-adic Dwork's method.
0