Abhyankar–Moh theorem

In mathematics, the Abhyankar–Moh theorem states that if $L$ is a complex line in the complex affine plane $\mathbb{C}^2$, then every embedding of $L$ into $\mathbb{C}^2$ extends to an automorphism of the plane. It is named after S. S. Abhyankar and T.-T. Moh, who published it in 1975. More generally, the same theorem applies to lines and planes over any algebraically closed field of characteristic zero, and to certain well-behaved subsets of higher dimensional complex affine spaces.