Abstract
It is well known that the Gauss map for a complex plane curve is birational, whereas the Gauss map in positive characteristic is not always birational. Let $q$ be a power of a prime integer. We study a certain plane curve of degree $q^2 + q + 1$ for which the Gauss map is inseparable with inseparable degree $q$. As a special case, we show a relation between the dual curve of the Fermat curve of degree $q^2 + q + 1$ and the Ballico-Hefez curve.
Citation
Kosuke Komeda. "Singularities of the dual curve of a certain plane curve in positive characteristic." Kodai Math. J. 44 (1) 166 - 180, March 2021. https://doi.org/10.2996/kmj44110
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