Abstract
Let \(\mathcal X\) be a non-degenerate projective algebraic curve and denote by \(\mathcal X^{'}\) its strict dual curve. The map \(\gamma :\mathcal X\longrightarrow \mathcal X^{'}\) 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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Acknowledgements
This research was partially supported by FAPESP-Brazil, grant 2016/24713-4. The author would like to thank the anonymous referee for the comments and suggestions that improved the presentation of this manuscript.
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Arakelian, N. Separable Degree of the Gauss Map and Strict Dual Curves Over Finite Fields. Bull Braz Math Soc, New Series 52, 135–148 (2021). https://doi.org/10.1007/s00574-020-00194-w
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DOI: https://doi.org/10.1007/s00574-020-00194-w