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arXiv · 1012.3064

A Strong Abhyankar-Moh Theorem and Criterion of Embedded Line

Yansong Xu
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Abstract

The condition of plane polynomial curve to be a line in well-known Abhyankar-Moh Theorem is replaced by weaker ones. A criterion of embedded line is obtained from this strong theorem: Two polynomials can generate the entire polynomial ring iff their derivatives can be generated.

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Yansong Xu. 2010-12-14. A Strong Abhyankar-Moh Theorem and Criterion of Embedded Line. https://arxiv.org/abs/1012.3064

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