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arxiv: 1911.12057 · v1 · pith:W3WNOR3Xnew · submitted 2019-11-27 · 🧮 math.AG · math.AC· math.CO

On Yoshinaga's arrangement of lines and the containment problem

classification 🧮 math.AG math.ACmath.CO
keywords arrangementlinesyoshinagacontainmentdoubleexamplesharbournehaving
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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.

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