Slope Estimates for Generalized Artin-Schreier Curves
  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. 
Emrah Sercan Y{\i}lmaz, Gary McGuire
math.AG