Slope Estimates for Generalized Artin-Schreier Curves
Algebraic Geometry
2018-03-26 v4
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.
Cite
@article{arxiv.1608.08158,
title = {Slope Estimates for Generalized Artin-Schreier Curves},
author = {Emrah Sercan Yılmaz and Gary McGuire},
journal= {arXiv preprint arXiv:1608.08158},
year = {2018}
}