On the Newton polyhedron of a Jacobian pair

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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.

About the authors

Leonid Grigor'evich Makar-Limanov

Wayne State University, Department of Mathematics; Faculty of Mathematics and Computer Science, Weizmann Institute of Science

Email: lml@math.wayne.edu

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