Explicit tensors of border rank at least $2d-2$ in $K^d\otimes K^d\otimes K^d$ in arbitrary characteristic

Harm Derksen, Visu Makam

For tensors in ${\mathbb{C}}^d\otimes {\mathbb{C}}^d\otimes {\mathbb{C}}^d$, Landsberg provides non-trivial equations for tensors of border rank $2d-3$ for $d$ even and $2d-5$ for $d$…