A new proof of the Abhyankar–Moh–Suzuki theorem via a new algorithm for the polynomial dependence-Reference-Cited by-同舟云学术

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A new proof of the Abhyankar–Moh–Suzuki theorem via a new algorithm for the polynomial dependence

Published:2015-07-10 Issue:09 Volume:14 Page:1540001
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Makar-Limanov Leonid¹²³⁴

Affiliation:

1. Max-Planck-Institut für Mathematik, 53111 Bonn, Germany

2. Department of Mathematics, Wayne State University, Detroit, MI 48202, USA

3. Department of Mathematics & Computer Science the Weizmann Institute of Science, Rehovot 76100, Israel

4. Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA

Abstract

This paper contains a complete and self-contained proof of the AMS theorem. The main tool is a new algorithm producing an irreducible dependence for a pair of polynomials in one variable.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498815400010

Reference18 articles.

1. A new proof of the Abhyankar-Moh-Suzuki theorem

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1. On the Newton polyhedron of a Jacobian pair;Izvestiya: Mathematics;2021-06-01

2. Algebraicity of normal analytic compactifications of ℂ2 with one irreducible curve at infinity;Algebra & Number Theory;2016-10-07

3. The epimorphism theorem and its generalizations;Journal of Algebra and Its Applications;2015-07-10

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