3 problems

Let $G(n-d,n)$ denote the Grassmannian of $(n-d)$-dimensional subspaces of an $n$-dimensional space, and let $\bm{p}$ be a Plücker-coordinate vector in $\bigcup\limits_n G(n-d,n)$.…

Let $V$ and $W$ be matrices whose stacked matrix is $U:=\operatorname{stack}(V,W)\in\operatorname{Mat}^{\circ}(k+\ell,n)$, and let the stacked twist map satisfy…

Pairwise smallest-minors conjecture. There exists an arrangement of smallest minors $S\subset\binom{[n]}{k}$ containing $I$ and $J$ if and only if either the pair is 1-interlaced,…