在雅可比矩阵对的牛顿多面体上

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2021-06-12 DOI:10.1070/IM9067

L. Makar-Limanov

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引用次数: 0

摘要

我们介绍并描述了与雅可比猜想的“最小”反例相关的牛顿多面体。这种描述使我们对雅可比对所给出的多项式映射的几何度有了更清晰的估计，并对Abhyankar的两个特征对给出了新的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Newton polyhedron of a Jacobian pair

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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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.