A new proof of the Abhyankar-Moh-Suzuki Theorem
Leonid Makar-Limanov
TL;DR
This paper provides a comprehensive proof of the Abhyankar-Moh-Suzuki theorem specifically for fields of characteristic zero, clarifying and confirming the theorem's validity in this setting.
Contribution
It offers a complete and rigorous proof of the Abhyankar-Moh-Suzuki theorem in characteristic zero, which was previously established through various partial results.
Findings
The theorem is proven rigorously in characteristic zero.
The proof consolidates existing partial results into a complete argument.
The result confirms the theorem's applicability in characteristic zero fields.
Abstract
This note contains a complete proof of the Abhyankar-Moh-Suzuki theorem (in characteristic zero case).
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Analytic and geometric function theory · Holomorphic and Operator Theory