Abstract
Abstract
We introduce and describe the Newton polyhedron related to a “minimal” counterexample to the Jacobian conjecture. This description allows us to obtain a sharper estimate for the geometric degree of the polynomial mapping given by a Jacobian pair and to give a new proof in the case of the Abhyankar’s two characteristic pairs.
Funder
National Science Foundation
Max-Planck-Institut für Mathematik
Fundação de Amparo à Pesquisa do Estado de São Paulo
Israel Science Foundation
NSA - National Security Agency