The generating-level conjecture for the linear free divisors of type D_n

Let $D\subset X=\mathbb{C}^{4n-10}$ be the linear free divisor $D_n$. The Hodge filtration on $\mathcal{O}_X(*D)$ is generated at level $k$ when

$$F_l\mathcal{D}_X\cdot F_k\mathcal{O}_X(*D)=F_{k+l}\mathcal{O}_X(*D)$$

for every $l\geq 0$. Generating-level conjecture for $D_n$. The Hodge filtration on $\mathcal{O}_X(*D)$ is generated at level $n-3$. This estimate is presented as a consequence that would follow from the paper's general generating-level conjecture, and extends the observed calculations for the $D_n$ series. It remains open insofar as the parent conjecture is unproved.