Some classes of linearizable polynomial maps

DOI10.1016/S0022-4049(96)00134-XzbMath0892.14011MaRDI QIDQ1380069

Nazar Ivanenko

Publication date: 19 May 1998

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

zbMATH Keywords

polynomial automorphismsjacobian conjecturelinearizable maptriangularizable map

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Polynomials over commutative rings (13B25) Automorphisms of curves (14H37) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Cites Work

• A non-triangular action of \({\mathbb{G}}_ a\) on \({\mathbb{A}}^ 3\)
• Automorphism group of a polynomial ring and algebraic group action on an affine space
• Non-linearizable algebraic group actions on \(\mathbb{A}^ n\)
• Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian conjecture
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Normal structure of the jonquere group over a field of characteristic zero
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