Length and decomposition of the cohomology of the complement to a hyperplane arrangement

Rikard Bøgvad, Iara Gonçalves

Let $\mathcal{A}$ be a hyperplane arrangement in ${\mathbb{C}}^n$. We show that the number of decomposition factors as a perverse sheaf of the direct image $R{j}_{\ast }{\mathbb{C}}_U$ of the co…