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Nilpotent Jacobians in dimension three

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Publication:814776
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DOI10.1016/j.jpaa.2005.06.003zbMath1085.14052OpenAlexW2121921306MaRDI QIDQ814776

Marc Chamberland, A. R. P. van den Essen

Publication date: 7 February 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2066/35575

zbMATH Keywords

nilpotent matrixpolynomial mappinghomogeneous dependence problem


Mathematics Subject Classification ID

Jacobian problem (14R15)


Related Items

Some results about global asymptotic stability, Polynomial maps with nilpotent Jacobians in dimension three, A new class of nilpotent Jacobians in any dimension, The classification of some polynomial maps with nilpotent Jacobians, A polynomial class of Markus–Yamabe counterexamples and examples in ℝ3, Injectivity and almost global asymptotic stability of Hurwitz vector fields



Cites Work

  • Unnamed Item
  • Polynomial automorphisms 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
  • The discrete Markus–Yamabe problem
  • The jacobian conjecture: linear triangularizatlon for cubics in dimension three
  • Quasi-translations and counterexamples to the Homogeneous Dependence Problem
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