On the Newton polyhedron of a Jacobian pair
- Autores: Makar-Limanov L.1,2
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Afiliações:
- Wayne State University, Department of Mathematics
- Faculty of Mathematics and Computer Science, Weizmann Institute of Science
- Edição: Volume 85, Nº 3 (2021)
- Páginas: 127-137
- Seção: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/133854
- DOI: https://doi.org/10.4213/im9067
- ID: 133854
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Resumo
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.
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Sobre autores
Leonid 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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