4 problems

Boundary support-functional conjecture. For every $\theta\in\Theta_{(\varkappa)}$, one has

Let $\mathcal{P}_1\in U_1\otimes\cdots\otimes U_n$ and $\mathcal{P}_2\in V_1\otimes\cdots\otimes V_n$ be persistent tensors, where $U_1,\ldots,U_n$ and $V_1,\ldots,V_n$ are vector…

For $\alpha,\beta\in\mathbb{N}$ with $\alpha\leq\beta$ and $\beta$ even, fix a set $\mathcal U$ of $\beta$ vectors in $\mathbb{C}^{\alpha}$ generically. A Latin Rectangle for…

Fix $n\in\mathord{\mathbb N}$ with $2<n$, and let ${\cal S}\in\mathrm{S}^d\mathord{\mathbb C}^n$ be nonsingular. Let $\mathbf H$ denote the polynomial map whose fixed points are us…