Plane curves containing a star configuration

Abstract

Given a collection of $l$ general lines ${\ell }_1,\dots ,{\ell }_l$ in $\pr^2$, the star configuration $\XX(l)$ is the set of points constructed from all pairwise intersections of these lines. For each non-negative integer $d$, we compute the dimension of the family of curves of degree $d$ that contain a star configuration.

12 pages, revised version

References in corpus (2)

• Inclics, galaxies, star configurations and Waldschmidt constants
• The Minimal Free Resolution of A Star-Configuration in ${\mathbb{P}}^n$