On the first infinitesimal neighborhood of a linear configuration of points in ${\mathbb{P}}^2$

A. V. Geramita, J. Migliore, L. Sabourin

We consider the following open questions. Fix a Hilbert function, $h$, that occurs for a reduced zero-dimensional subscheme of ${\mathbb{P}}^2$. Among all subschemes, $X$, with Hilber…