论文标题
在平面曲线的双点上发表评论
Remarks on double points of plane curves
论文作者
论文摘要
我们研究了平面曲线的双点的类型与该点的曲线的曲线0维曲线之间的关系。描述并证明了与通过示波曲线研究双点的经典程序相关的算法。最终，我们寻找一种创建具有给定奇点$ a_s $的理性平面曲线的示例。
We study the relation between the type of a double point of a plane curve and the curvilinear 0-dimensional subschemes of the curve at the point. An Algorithm related to a classical procedure for the study of double points via osculating curves is described and proved. Eventually we look for a way to create examples of rational plane curves with given singularities $A_s$.
