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Slope Estimates for Generalized Artin-Schreier Curves

Published 29 Aug 2016 in math.AG | (1608.08158v4)

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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