Maria Tombarkiewicz, Maciej Zieba: On Yoshinaga's arrangement of lines and the containment problem, 207-215

Abstract:

The main purpose of the note is to show that Yoshinaga's arrangement of $18$ lines having $48$ triple and $9$ double intersection points leads to a new (short) series of non-containment examples for $I^{(3)} \subset I^{2}$, the question studied by Harbourne and Huneke.

Key Words: Line arrangements, symbolic powers of ideals, containment problem, intersection points.

2010 Mathematics Subject Classification: Primary 52C35; Secondary 13F20, 32S22, 14N10.

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