One more proof of the Abhyankar-Moh-Suzuki theorem

TL;DR

This paper provides an alternative proof of the Abhyankar-Moh-Suzuki theorem by deriving it from the Lin-Zaidenberg theorem, offering new insights into polynomial embeddings.

Contribution

It presents a novel proof of the Abhyankar-Moh-Suzuki theorem based on the Lin-Zaidenberg theorem, connecting two important results in algebraic geometry.

Findings

Proof derived from Lin-Zaidenberg theorem

Enhanced understanding of polynomial embeddings

New connections between algebraic theorems

Abstract

We extract the Abhyankar-Moh-Suzuki theorem from the Lin-Zaidenberg theorem.