2 problems

Let $\mathbb{k}$ be the underlying field, and let $T\in\mathbb{k}^a\otimes\mathbb{k}^b\otimes\mathbb{k}^c$ be a tensor that is tight and concise. Here, concise means that the flatt…

Let $q_n$ denote the quadratic form in $n$ variables and let $\operatorname{rk}(q_n^s)$ be its Waring rank. For fixed $n\in\mathbb{N}$, the rank is compared with the generic rank o…