Terao and Yuzvinsky's algebraic logarithmic comparison conjecture for hyperplane arrangements

Let $f=f_1\cdots f_d\in R=\mathbb{C}[x_1,\dots,x_n]$ define a reduced hyperplane arrangement $\mathscr{A}$ in $X=\mathbb{C}^n$, and let $U=X\setminus\mathscr{A}$. Write $\Omega_R^{\bullet}(\log\mathscr{A})$ for the algebraic logarithmic de Rham complex and $\Omega_R^{\bullet}(\star\mathscr{A})$ for the algebraic rational de Rham complex, allowing arbitrary-order poles along $\mathscr{A}$. Terao and Yuzvinsky's conjecture. The natural inclusion is a quasi-isomorphism:

$$\Omega_R^{\bullet}(\log\mathscr{A},d)\xhookrightarrow{\operatorname{q.i.}}\Omega_R^{\bullet}(\star\mathscr{A},d)\simeq H^{\bullet}(U,\mathbb{C}_U).$$

This conjecture asserts the algebraic logarithmic comparison theorem for every reduced hyperplane arrangement. It was posed by Terao and Yuzvinsky and motivates the paper's study of logarithmic comparison theorems; the supplied text does not establish whether it has been resolved.