Polynomial maps with invertible sums of Jacobian matrices and directional derivatives

Author:

Guo Hongbo,de Bondt Michiel,Du Xiankun,Sun Xiaosong

Funder

Jilin University

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

General Mathematics

Reference14 articles.

1. The Jacobian Conjecture: reduction of degree and formal expansion of inverse;Bass;Bull. Amer. Math. Soc.,1982

2. A reduction of the Jacobian Conjecture to the symmetric case;de Bondt;Proc. Amer. Math. Soc.,2005

3. The Jacobian Conjecture for symmetric Drużkowski mappings;de Bondt;Ann. Polon. Math.,2005

4. M. de Bondt, Homogeneous Keller maps, Ph.D. Thesis, Nijmegen: Radboud University, 2009, http://webdoc.ubn.ru.nl/mono/b/bondt_m_de/homokema.pdf.

5. Injective endomorphisms of algebraic varieties;Borel;Arch. Math. (Basel),1969

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1. Triangularization of Matrices and Polynomial Maps;Canadian Mathematical Bulletin;2019-09-18

2. Triangularization properties of power linear maps and the Structural Conjecture;Annales Polonici Mathematici;2014

3. On additive-nilpotency of Jacobian matrices of polynomial maps;Linear Algebra and its Applications;2013-12

4. Some remarks on the Jacobian Conjecture and Drużkowski mappings;Journal of Algebra;2013-06

5. The linear triangularizability of some Keller maps;Linear Algebra and its Applications;2013-05

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