A penalised Saito functional for heuristic search of free line arrangements

Tomás S. R. Silva

We introduce the penalised Saito functional ${\mathfrak{S}}_{\lambda ,\beta }(\mathcal{A};d_1,d_2)$ for a reduced arrangement $\mathcal{A}$ of $n$ lines and a prescribed pair $d_1+d_2=n-1$. It me…