3 problems

Etzion–Silberstein conjecture. For every Ferrers diagram $\mathcal{F}$ of order $n$, every $1\le d\le n$, and every finite field $\mathbb{F}_q$, there exists an…

For each integer $d\geq 3$, let $\mathfrak P_d\subseteq\mathbb R^{2d-3}$ be the integral polytope whose integer points correspond to irreducible Ferrers-diagram pairs…

Minimal-degree conjecture. Divisors of the form $D_{x,y}$ have minimal degree among divisors of positive rank on Ferrers rook graphs.