A Miyaoka-Yau inequality for hyperplane arrangements in ${\mathbb{CP}}^n$

Martin de Borbon, Dmitri Panov

Let $\mathcal{H}$ be a hyperplane arrangement in ${\mathbb{CP}}^n$. We define a quadratic form $Q$ on ${\mathbb{R}}^{\mathcal{H}}$ that is entirely determined by the intersection poset…