Power linear Keller maps with ditto triangularizations

DOI10.1016/J.JALGEBRA.2006.08.039zbMath1122.14041OpenAlexW2009212853MaRDI QIDQ2370255

Michiel de Bondt, He Tong

Publication date: 22 June 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.08.039

zbMATH Keywords

Jacobian conjecturelinearly triangularizablepower linear Keller maps

Mathematics Subject Classification ID

Jacobian problem (14R15)

Related Items (4)

Triangularization properties of power linear maps and the Structural Conjecture ⋮ Quadratic linear Keller maps of nilpotency index three ⋮ Some remarks on the Jacobian conjecture and polynomial endomorphisms ⋮ Graphs and the Jacobian conjecture

Cites Work

• A geometric approach to Keller's Jacobian conjecture
• Chaotic polynomial automorphisms: Counterexamples to several conjectures
• A Jacobian criterion for separability
• The Jacobian conjecture in case of rank or corank less than three
• Polynomial automorphisms and the Jacobian conjecture
• Quadratic linear Keller maps
• Power linear Keller maps of rank two are linearly triangularizable
• An effective approach to Keller's Jacobian conjecture
• Conjugation for polynomial mappings
• Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian conjecture
• The Jacobian conjecture: Linear triangularization for homogeneous polynomial maps in dimension three
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Strong nilpotence holds in dimensions up to five only^∗
• The jacobian conjecture: linear triangularizatlon for cubics in dimension three
• Cubic linear Keller maps

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