Rank Bounds and PIT for $\hat{I}{\pounds }^3\hat{I}\hat{I}\pounds {\hat{I}}^d$ circuits via a non-linear Edelstein-Kelly theorem

Abhibhav Garg, Rafael Oliveira, Akash Kumar Sengupta

We prove a non-linear Edelstein-Kelly theorem for polynomials of constant degree, fully settling a stronger form of Conjecture 30 in Gupta (2014), and generalizing the main result…