On the Abhyankar-Moh inequality
Algebraic Geometry
2019-10-03 v1
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.
Cite
@article{arxiv.1407.0176,
title = {On the Abhyankar-Moh inequality},
author = {Roland D. Barrolleta and Evelia R. García Barroso and Arkadiusz Płoski},
journal= {arXiv preprint arXiv:1407.0176},
year = {2019}
}
Comments
5 pages. This short note is conceived as an appendix to arXiv:1208.0913