Slope Estimates for Generalized Artin-Schreier Curves
classification
🧮 math.AG
keywords
curvesartin-schreierestimatesgeneralizedslopeactionapplicationsbound
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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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