Cubic linear Keller maps

DOI10.1016/S0022-4049(00)00076-1zbMath1017.14010OpenAlexW2109660080MaRDI QIDQ5939847

Charles Ching-An Cheng

Publication date: 20 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00076-1

zbMATH Keywords

linearly triangularizable polynomial map

Mathematics Subject Classification ID

Jacobian problem (14R15) Automorphisms of curves (14H37)

Related Items (6)

Power linear Keller maps with ditto triangularizations ⋮ Quadratic linear Keller maps of nilpotency index three ⋮ Power linear Keller maps of rank two are linearly triangularizable ⋮ Triangularization of Matrices and Polynomial Maps ⋮ Quadratic linear Keller maps ⋮ Power linear Keller maps of dimension four

Cites Work

• The Jacobian conjecture in case of rank or corank less than three
• An effective approach to Keller's Jacobian conjecture
• Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian conjecture
• Power linear Keller maps of dimension three
• Strong nilpotence holds in dimensions up to five only^∗
• The jacobian conjecture: linear triangularizatlon for cubics in dimension three
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