论文标题
某个平面曲线的双曲线的奇异曲线以积极特征
Singularities of the dual curve of a certain plane curve in positive characteristic
论文作者
论文摘要
众所周知，复杂平面曲线的高斯映射是生育的，而正面特征的高斯图并不总是偶然的。让$ Q $成为主要整数的力量。我们研究了一定的平面曲线$ q^2+q+1 $，而高斯地图不可分割的程度$ q $是不可分割的。作为特殊情况，我们显示了度$ q^2+q+1 $的Fermat曲线双重曲线与Ballico-Hefez曲线之间的关系。
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.
