关于三次曲面的构形拓扑及其折切线
On the topology of arrangements of a cubic and its inflectional tangents
摘要：
$k$ -Artal排列是由光滑三次和$k$曲折切线组成的可约代数曲线。通过研究它们的子排列的拓扑性质，证明了对于$k=3,4,5,6$，存在$k$ -Artal排列的Zapriki对.这些Zariki对可以区分在一个几何的方式由共线的三元组的数量在一组的奇点包含在立方。
英文摘要：
A $k$-Artal arrangement is a reducible algebraic curve composed of a smooth cubic and $k$ inflectional tangents. By studying the topological properties of their subarrangements, we prove that for $k=3,4,5,6$, there exist Zariski pairs of $k$-Artal arrangements. These Zariki pairs can be distinguished in a geometric way by the number of collinear triples in the set of singular points contained in the cubic.
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