Polynomial maps with nilpotent Jacobians in dimension three

DOI10.1016/j.laa.2015.10.019zbMath1330.14098OpenAlexW2963882655MaRDI QIDQ891548

Dan Yan, Guoping Tang

Publication date: 17 November 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.10.019

zbMATH Keywords

Jacobian conjecturepolynomial mappingnilpotent Jacobian matrix

Mathematics Subject Classification ID

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

Related Items (1)

The classification of some polynomial maps with nilpotent Jacobians

Cites Work

• Nilpotent Jacobians in dimension three
• Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
• Keller's problem
• A Jacobian criterion for separability
• 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 jacobian conjecture: linear triangularizatlon for cubics in dimension three
• Quasi-translations and counterexamples to the Homogeneous Dependence Problem

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