Slope Estimates for Generalized Artin-Schreier Curves
arXiv:1608.08158
Abstract
We provide first slope estimates of the Newton polygon of generalized Artin-Schreier curves, which are proved using the action of Frobenius and Verschiebung on cohomology. We provide a number of applications such as an improved Hasse-Weil bound for this class of curves.