Geodesic
On the Newton polyhedron of a~Jacobian pair
Izvestiya. Mathematics , Tome 85 (2021) no. 3, pp. 457-467

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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.
Keywords: Newton polytopes.
Mots-clés : Jacobian conjecture 
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     title = {On the {Newton} polyhedron of  {a~Jacobian} pair},
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L. G. Makar-Limanov. On the Newton polyhedron of  a~Jacobian pair. Izvestiya. Mathematics , Tome 85 (2021) no. 3, pp. 457-467. http://geodesic.mathdoc.fr/item/IM2_2021_85_3_a7/