2 problems

Solomon–Terao order-degree conjecture. If $\eta\in U_{d+1}({\mathcal{A}})$, then $ST_{d+1}({\mathcal{A}};x)$ is monic of degree

Asymptotic exponent-difference conjecture. There exists a natural number $N\in\mathbb{N}$ such that, whenever $\min\{n_1,n_2\}\geq N$, one has $\Delta(\mathcal{A},m)\leq 1$. This c…