An effective study of polynomial maps

被引：3

作者：

Adamus, Elzbieta ^{[1
]}

Bogdan, Pawel ^{[2
]}

Crespo, Teresa ^{[3
]}

Hajto, Zbigniew ^{[2
]}

机构：

[1] AGH Univ Sci & Technol, Fac Appl Math, Al A Mickiewicza 30, PL-30059 Krakow, Poland

[2] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

[3] Univ Barcelona, Dept Algebra & Geometria, Gran Via Corts Catalanes 585, Barcelona 08007, Spain

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2017年 / 16卷 / 08期

关键词：

Polynomial automorphism; Jacobian problem;

D O I：

10.1142/S0219498817501419

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using an effective algorithm, we obtain an equivalent statement to the Jacobian Conjecture. For a polynomial map F on an affine space of dimension n over a field of characteristic 0, we define recursively a finite sequence of polynomial maps. We give an equivalent condition to the invertibility of F as well as a formula for F-1 in terms of this finite sequence of polynomial maps. Some examples illustrate the effective aspects of our approach.

引用

页数：13

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