利用剖分和Zapriki元组显式构造光滑三次曲线的$n$ -contact曲线
An explicit construction for $n$-contact curves to a smooth cubic via divisions and Zariski tuples
摘要：
设$E$为光滑立方。如果在$E$和$D$之间的每个交叉点处的交重数数是$n$，则平面曲线$D$被称为与$E$的$n$接触曲线。本文给出了一种生成$E$的$n$ -接触曲线的算法，并讨论了它的应用.
英文摘要：
Let $E$ be a smooth cubic. A plane curve $D$ is said to be an $n$-contact curve to $E$ if the intersection multiplicities at each intersection point between $E$ and $D$ is $n$. In this note, we give an algorithm to produce $n$-contact curves to $E$ and consider its application.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
