In mathematics, the Abhyankar–Moh theorem states that if
L
is a complex line in the complex affine plane
C
2
, then every embedding of
L
into
C
2
extends to an automorphism of the plane. It is named after Shreeram Shankar 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.
