SINGULARITIES OF THE DUAL CURVE OF A CERTAIN PLANE CURVE IN POSITIVE CHARACTERISTIC

被引：0
|
作者：
Komeda, Kosuke [1 ]
机构：
[1] Hiroshima Univ, Grad Sch Sci, Dept Math, 1-3-1 Kagamiyama, Higashihiroshima 7398526, Japan
来源：
KODAI MATHEMATICAL JOURNAL | 2021年 / 44卷 / 01期
关键词：
plane curve; dual curve; positive characteristic; singularity;
D O I：
10.2996/kmj44110
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：166 / 180
页数：15
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