2 problems

Let $\theta(\ell,m,n)=(t+t^{\ell},t^m,t^n)$ be a polynomial embedding of the line in $3$-space, where $\ell,m,n$ are positive integers. Abhyankar's conjecture. These embeddings are…

A polynomial embedding is an injective polynomial map whose image is isomorphic to the complex line. Two polynomial embeddings $\phi_1,\phi_2:\mathbb{C}\hookrightarrow\mathbb{C}^3$…