3 problems

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 ${\mathcal A}$ 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…