Slope Estimates for Generalized Artin-Schreier Curves

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.

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Veröffentlicht in:arXiv.org 2018-03
Hauptverfasser: Emrah Sercan Yılmaz, McGuire, Gary
Format: Artikel
Sprache:eng
Schlagworte:
Estimates
Homology
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Zusammenfassung: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.
ISSN:2331-8422