Polynomial maps with invertible sums of Jacobian matrices and directional derivatives

DOI10.1016/J.INDAG.2011.11.007zbMath1376.14062arXiv1106.0792OpenAlexW3100403973MaRDI QIDQ441345

Xiaosong Sun, Michiel de Bondt, Xiankun Du, Hong-Bo Guo

Publication date: 23 August 2012

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0792

zbMATH Keywords

Jacobian conjectureJacobian matrix

Mathematics Subject Classification ID

Jacobian problem (14R15) Rational and birational maps (14E05)

Related Items (5)

Triangularization properties of power linear maps and the Structural Conjecture ⋮ The linear triangularizability of some Keller maps ⋮ On additive-nilpotency of Jacobian matrices of polynomial maps ⋮ Some remarks on the Jacobian Conjecture and Drużkowski mappings ⋮ Triangularization of Matrices and Polynomial Maps

Cites Work

• Keller's problem
• A Jacobian criterion for separability
• Polynomial automorphisms and the Jacobian conjecture
• An effective approach to Keller's Jacobian conjecture
• Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian conjecture
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Injective endomorphisms of algebraic and analytic sets
• Strong nilpotence holds in dimensions up to five only^∗
• On generalized strongly nilpotent matrices
• A reduction of the Jacobian Conjecture to the symmetric case
• The Jacobian Conjecture for symmetric Drużkowski mappings
• Injective endomorphisms of algebraic varieties

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