Abstract
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 Zariski pairs can be distinguished in a geometric way by the number of collinear triples in the set of singular points of the arrangement contained in the cubic.
Citation
Shinzo Bannai. Benoît Guerville-Ballé. Taketo Shirane. Hiro-o Tokunaga. "On the topology of arrangements of a cubic and its inflectional tangents." Proc. Japan Acad. Ser. A Math. Sci. 93 (6) 50 - 53, June 2017. https://doi.org/10.3792/pjaa.93.50
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