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arXiv · 1905.08882

Separable degree of the Gauss map and strict dual curves over finite fields

Nazar Arakelian
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Abstract

Let $\mathcal{X}$ be a projective algebraic curve and denote by $\mathcal{X}^{'}$ its strict dual curve. The map $γ:\mathcal{X} \longrightarrow \mathcal{X}^{'}$ is called (strict) Gauss map of $\mathcal{X}$. In this manuscript, we study the separable degree of the Gauss map of curves defined over finite fields. In particular, we give a generalization of a known result on the separable degree of the Gauss map of plane Frobenius nonclassical curves. We also obtain a characterization of certain plane strange curves.

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Nazar Arakelian. 2019-05-24. Separable degree of the Gauss map and strict dual curves over finite fields. https://arxiv.org/abs/1905.08882

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