Abhyankar–Moh theorem

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

References Abhyankar, Shreeram S.; Moh, Tzuong-Tsieng (1975), "Embeddings of the line in the plane", Journal für die reine und angewandte Mathematik, 276: 148–166, MR 0379502. M. Hazewinkel (2001) [1994], "Abhyankar–Moh theorem", Encyclopedia of Mathematics, EMS Press This algebraic geometry–related article is a stub. You can help Wikipedia by expanding it.

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