Nilpotent symmetric Jacobian matrices and the Jacobian conjecture. II

DOI10.1016/j.jpaa.2004.08.030zbMath1077.14092OpenAlexW2571743224WikidataQ123124495 ScholiaQ123124495MaRDI QIDQ1770529

Michiel de Bondt, A. R. P. van den Essen

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.08.030

zbMATH Keywords

symmetric matrixJacobian conjecturenilpotent matrixpolynomial mapping

Mathematics Subject Classification ID

Jacobian problem (14R15)

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Cites Work

• Keller's problem
• The Jacobian conjecture for symmetric Jacobian matrices.
• Polynomial automorphisms and the Jacobian conjecture
• The Jacobian conjecture in dimension 3 and degree 3
• Nilpotent symmetric Jacobian matrices and the Jacobian conjecture
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• The jacobian conjecture: linear triangularizatlon for cubics in dimension three
• A reduction of the Jacobian Conjecture to the symmetric case