Some remarks to the Jacobian Conjecture
Some remarks to the Jacobian Conjecture
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DOI：
10.17512/jamcm.2017.1.08
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发表时间：
2017
影响因子：
1
通讯作者：
S. Lara-Dziembek;G. Biernat;E. Pawlak
中科院分区：
文献类型：
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作者：
S. Lara-Dziembek;G. Biernat;E. Pawlak
这个问题与Jacobian猜想有关。它包含了无穷远处有两个零点的多项式映射的代数相关性和常雅可比矩阵的公式。这些关系意味着这样的映射是不可逆的。他们减少了雅可比猜想的情况下，只有一个零在无穷远的映射。这个案子已经被Abhyankar解决了。文中给出的计算公式均以大型算例进行了说明。MSC 2010：14R15
This work is related to the Jacobian Conjecture. It contains the formulas concerning algebraic dependence of the polynomial mappings having two zeros at infinity and the constant Jacobian. These relations mean that such mappings are non-invertible. They reduce the Jacobian Conjecture only to the case of mappings having one zero at infinity. This case is already solved by Abhyankar. The formulas presented in the paper were illustrated by the large example. MSC 2010: 14R15