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arXiv · 1608.08158

Slope Estimates for Generalized Artin-Schreier Curves

Emrah Sercan Yılmaz·Gary McGuire
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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.

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Emrah Sercan Yılmaz, Gary McGuire. 2016-08-29. Slope Estimates for Generalized Artin-Schreier Curves. https://arxiv.org/abs/1608.08158

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