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arXiv · 1407.0176

On the Abhyankar-Moh inequality

Roland D. Barrolleta·Evelia R. García Barroso·Arkadiusz Płoski
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Abstract

Abhyankar and Moh in their fundamental paper on the embeddings of the line in the plane proved an important inequality which can be stated in terms of the semigroup associated with the branch at infinity of a plane algebraic curve. In this note we study the semigroups of integers satisfying the Abhyankar-Moh inequality and give a simple proof of the Abhyankar-Moh embedding theorem.

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Roland D. Barrolleta, Evelia R. García Barroso, Arkadiusz Płoski. 2014-07-01. On the Abhyankar-Moh inequality. https://doi.org/10.4467/20843828am.15.001.3727.

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