The Geometry of Rank Drop in a Class of Face-Splitting Matrix Products

Erin Connelly, Sameer Agarwal, Alperen Ergur +1

Given $k\le 6$ points $(x_i,y_i)\in {\mathbb{P}}^2\times {\mathbb{P}}^2$, we characterize rank deficiency of the $k\times 9$ matrix $Z_k$ with rows $x_i^{\top }\otimes y_i^{\top }$ in…