On the Newton polytope of a Jacobian pair
Algebraic Geometry
2021-06-17 v1 Commutative Algebra
Abstract
The Newton polytope related to a ``minimal" counterexample to the Jacobian conjecture is introduced and described. This description allows to obtain a sharper estimate for the geometric degree of the polynomial mapping given by a Jacobian pair and to give a new proof of the Abhyankar's two characteristic pair case.
Cite
@article{arxiv.2106.06869,
title = {On the Newton polytope of a Jacobian pair},
author = {Leonid Makar-Limanov},
journal= {arXiv preprint arXiv:2106.06869},
year = {2021}
}