Border subrank via a generalised Hilbert-Mumford criterion

Benjamin Biaggi, Chia-Yu Chang, Jan Draisma +1

We show that the border subrank of a sufficiently general tensor in $({\mathbb{C}}^n{)}^{\otimes d}$ is $\mathcal{O}(n^{1/(d-1)})$ for $n\to \infty$. Since this matches the growth rat…