Combinatorics of line arrangements and dynamics of polynomial vector fields

Benoît Guerville-Ballé, Juan Viu-Sos

Let $\mathcal{A}$ be a real line arrangement and $\mathcal{D}(\mathcal{A})$ the module of $\mathcal{A}$--derivations. First, we give a dynamical interpretation of $\mathcal{D}(\mat…