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arXiv · 0809.0104

Some families of supersingular Artin-Schreier curves in characteristic > 2

Hui June Zhu
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Abstract

In this short paper we prove that the following two 1-dimensional families of Artin-Schreier curves are supersingular: y^7 - y = x^5 + c.x^2 over F_7 y^5 - y = x^7 + c.x over F_5 (for some parameter c). Our method is developed upon the p-adic Dwork's method.

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Hui June Zhu. 2008-08-31. Some families of supersingular Artin-Schreier curves in characteristic > 2. https://arxiv.org/abs/0809.0104

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