ON THE TWO-DIMENSIONAL JACOBIAN CONJECTURE: MAGNUS' FORMULA REVISITED, I

被引：0

作者：

Hurst, William E. ^{[1
]}

Lee, Kyungyong ^{[1
,2
]}

Li, Li ^{[3
]}

Nasr, George D. ^{[4
]}

机构：

[1] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA

[2] Korea Inst Adv Study, Seoul, South Korea

[3] Oakland Univ, Dept Math & Stat, Rochester, MI USA

[4] Augustana Univ, Dept Math, Sioux Falls, SD USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2023年 / 53卷 / 03期

关键词：

Jacobian conjecture; Newton polygon; Magnus' formula;

D O I：

10.1216/rmj.2023.53.791

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be an algebraically closed field of characteristic 0. For f, g & ISIN; K[x, y], when the Jacobian ( partial differential f / partial differential x)( partial differential g/ partial differential y) - ( partial differential g/ partial differential x)( partial differential f / partial differential y) is a constant, Magnus' formula describes the relations between the homogeneous degree pieces fi and gi. We show a more general version of Magnus' formula, which could provide a potentially useful tool to prove the Jacobian conjecture.

引用

页码：791 / 806

页数：16

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