Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian conjecture
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Publication:2564948
DOI10.1016/0024-3795(95)00095-XzbMath0868.13018WikidataQ123272843 ScholiaQ123272843MaRDI QIDQ2564948
Hubbers, Engelbert, A. R. P. van den Essen
Publication date: 11 February 1997
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Birational automorphisms, Cremona group and generalizations (14E07) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Automorphisms of curves (14H37)
Related Items (23)
Power Linear Keller Maps of Nilpotency Index Two ⋮ Power linear Keller maps with ditto triangularizations ⋮ A degree bound for strongly nilpotent polynomial automorphisms ⋮ Triangularization properties of power linear maps and the Structural Conjecture ⋮ The non-Keller mapping with one zero at infinity ⋮ Some classes of linearizable polynomial maps ⋮ Some remarks on linear triangularizability ⋮ The linear triangularizability of some Keller maps ⋮ On additive-nilpotency of Jacobian matrices of polynomial maps ⋮ Polynomial maps with invertible sums of Jacobian matrices and directional derivatives ⋮ Quadratic linear Keller maps of nilpotency index three ⋮ On the Strong Nilpotence Problem ⋮ Classification of Quadratic Homogeneous Automorphisms in Dimension Five ⋮ Power linear Keller maps of rank two are linearly triangularizable ⋮ Cubic linear Keller maps ⋮ Some Remarks on Polynomial Maps ⋮ Triangularization of Matrices and Polynomial Maps ⋮ The Nagata automorphism is shifted linearizable ⋮ A counterexample to Meisters' cubic-linear linearization conjecture ⋮ The strong nilpotency index of a matrix ⋮ Quadratic homogeneous Keller maps of rank two ⋮ Quadratic linear Keller maps ⋮ Power linear Keller maps of dimension four
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