4 problems

Let $\mathcal{B}(n,3,\mathcal{A}_\infty)$ be a discriminantal arrangement with the maximum number of independent intersections in…

Consider real generic arrangements $\mathcal{A}$ such that the discriminantal arrangement $\mathcal{B}(6,2,\mathcal{A})$ has $m$ intersections of multiplicity $4$ in rank $3$. The…

Let ${\mathcal A}^0$ be an arrangement of $6$ planes in ${\mathbb R}^3$ or ${\mathbb C}^3$, and let ${\mathcal B}(6,3,{\mathcal A}^0)$ be its discriminantal arrangement. The rank-…

Let $k=3$, and consider line arrangements in ${\mathbb P}^2$ with a high number of triple points, viewed as hyperplane arrangements with high-multiplicity intersections. Regularity…