The generic splitting type of the logarithmic bundle of an arrangement of at most sixteen lines is combinatorial

Cristian Anghel, Rares Stan

Let $\mathcal{A}$ be an arrangement of $d$ lines in ${\mathbb{P}}_{\mathbb{C}}^2$ and let $\mathcal{T}⟨\mathcal{A}⟩$ be its bundle of logarithmic vector fields. On a genera…