On the intersection of the curves through a set of points in $\mathbb{P}^2$ Feb 6, 2024 Zachariah C. Teitler. On the intersection of the curves through a set of points in $\mathbb{P}^2$. JPAA 209 (2007), no. 2, 571-581 arXiv: https://arxiv.org/abs/math/0508307 doi: 10.1016/j.jpaa.2006.07.007