3 problems

Let $\mathcal{H}\in\operatorname{H}^m(\mathbb{C}^n)$ be any Hankel tensor, where $\operatorname{rank}(\mathcal{H})$ denotes its tensor rank and $\operatorname{rank}_S(\mathcal{H})$…

Let $m\geq 5$ be odd, and let $\mathcal{H}\in\operatorname{H}^m(\mathbb{C}^n)$ be a generic Hankel tensor. The generic Hankel rank conjecture. The answer to whether … is yes. The e…

The minimizer-set conjecture. The segment $L$ is the minimizer set of both $M_0$ and $N_0$.