The Jacobian conjecture in case of rank or corank less than three

DOI10.1016/0022-4049(93)90140-OzbMath0781.13015WikidataQ122942078 ScholiaQ122942078MaRDI QIDQ1209076

Ludwik M. Drużkowski

Publication date: 16 May 1993

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

zbMATH Keywords

Jacobian conjecturepolynomial automorphism

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Automorphisms of curves (14H37)

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Power linear Keller maps with ditto triangularizations ⋮ Some remarks to the Jacobian conjecture ⋮ On the structure of the semigroup of entire étale mappings ⋮ Quadratic tame generators problem of rank three ⋮ Unnamed Item ⋮ The Jacobian conjecture and injectivity conditions ⋮ Quadratic linear Keller maps of nilpotency index three ⋮ Power linear Keller maps of dimension three ⋮ Some remarks on the Jacobian conjecture and polynomial endomorphisms ⋮ Matrices with few nonzero principal minors ⋮ Drużkowski matrix search and \(D\)-nilpotent automorphisms. ⋮ Power linear Keller maps of rank two are linearly triangularizable ⋮ Cubic linear Keller maps ⋮ The linear dependence problem for power linear maps ⋮ Mathieu–Zhao subspaces of vertex algebras ⋮ Some new theoretical and computational results around the Jacobian conjecture ⋮ Quadratic homogeneous Keller maps of rank two ⋮ Quadratic linear Keller maps ⋮ Power linear Keller maps of dimension four

Cites Work

• Stably tame automorphisms
• An effective approach to Keller's Jacobian conjecture
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Volume-preserving automorphisms of C⊃n⊃
• The jacobian conjecture: linear triangularizatlon for cubics in dimension three
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