3 problems

Let $AD^{2s,2n}_{\binom{2n}{2}-m}$ denote the skew-symmetric determinantal locus in even dimension with the indicated rank parameter. For any fixed $m>0$, the even skew-symmetric d…

Let $X$ be a real skew-symmetric $n\times n$ matrix, and let $\mathcal{V}_{X^2}$ denote the variety of symmetric matrices arising as squares $X^2$. Generation-degree conjecture. Th…

Let $A$ and $B$ be $n\times n$ skew-symmetric real matrices. Two such matrices have equal corresponding principal minors of all orders if, for every subset $X\subseteq [n]$, the pr…