On Yoshinaga's arrangement of lines and the containment problem

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.

9 pages

References in corpus (2)

• Resurgences for ideals of special point configurations in ${\mathbf{P}}^N$ coming from hyperplane arrangements
• The 21 reducible polars of Klein's quartic