6 problems

Let $\mathcal{B}(n,k)$ denote the Manin–Schechtman arrangement for fixed $n$ and $k$, and let $P(n,k)$ be the combinatorial poset proposed by Bayer and Brandt to describe its large…

For a reduced plane curve $C=\{f=0\}$ in $\mathbb{P}^{2}_{\mathbb{C}}$, let $\nu(C)$ denote its defect. A line arrangement is a union of finitely many lines in…

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 ${\mathcal A}$ and ${\mathcal B}$ be line arrangements with isomorphic intersection lattices … Let $E({\mathcal A})$ and $E({\mathcal B})$ be the associated rank $2$ vector bun…

Let ${\mathcal A}$ and ${\mathcal B}$ be arrangements of $d$ lines with isomorphic intersection lattices … Let $r({\mathcal A})$ denote the minimal degree of a Jacobian relation. S…

Let $\mathscr{A}$ be a hyperplane arrangement, and let $b_{f_\mathscr{A}}(s)$ denote the Bernstein--Sato polynomial of a defining polynomial $f_\mathscr{A}$. The intersection-latti…