Zeta functions of quadratic Artin-Schreier curves in characteristic two

Régis Blache; Timothé Pierre

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arXiv · 2112.02860

Zeta functions of quadratic Artin-Schreier curves in characteristic two

Régis Blache·Timothé Pierre

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Abstract

The aim of this paper is twofold: on one hand we study the invariants of traces of quadratic forms over a finite field of characteristic two. On the other hand, we give results about the zeta functions of certain curves studied by van der Geer and ven der Vlugt.

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Régis Blache, Timothé Pierre. 2021-12-06. Zeta functions of quadratic Artin-Schreier curves in characteristic two. https://arxiv.org/abs/2112.02860

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