Quadratic linear Keller maps

DOI10.1016/S0024-3795(01)00582-1zbMath1001.14024MaRDI QIDQ1601631

Charles Ching-An Cheng

Publication date: 27 June 2002

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

zbMATH Keywords

Jacobian conjecturetriangular mapKeller mappower linear polynomial map

Mathematics Subject Classification ID

Jacobian problem (14R15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Related Items (6)

Power linear Keller maps with ditto triangularizations ⋮ Quadratic linear Keller maps of nilpotency index three ⋮ Some remarks on the Jacobian conjecture and polynomial endomorphisms ⋮ Power linear Keller maps of rank two are linearly triangularizable ⋮ The linear dependence problem for power linear maps ⋮ Quadratic homogeneous Keller maps of rank two

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
• Cubic linear Keller maps

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