4 problems

For order-$k$ tensors, let $f$ be a function of the subrank that upper bounds the geometric rank. Geometric Rank vs. Subrank Conjecture. The function $f$ is a polynomial of degree…

Stability of subrank under field extensions. There exists a polynomial $\psi$ of degree at most $d-1$ such that, for every field $\mathbb{K}$ and every tensor…

Polynomial bound for geometric rank in terms of subrank. There exists a polynomial $\varphi$ of degree at most $d-1$ such that, for every field $\mathbb{K}$ and every tensor…

Generic subrank upper-bound conjecture. The generic subrank is equal to the upper bound