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What is Degree 10 Curve with 12 Triple Points about?

The document presents the construction of an irreducible rational curve of degree 10 in CP2 with 12 triple points, providing a counterexample to a conjecture by Dimca, Harbourne, and Sticlaru. The author establishes an analytic family of such curves that converge to the union of a dual Hesse arrangement of lines with an additional line. The findings suggest potential independent interest in the methods used for constructing these curves.

Author

hocabi9921

Language

EN