A counterexample to Meisters' cubic-linear linearization conjecture

DOI10.1016/S0019-3577(98)80002-5zbMath0972.14043OpenAlexW2157421393WikidataQ122902781 ScholiaQ122902781MaRDI QIDQ1279706

A. R. P. van den Essen

Publication date: 30 January 2000

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(98)80002-5

zbMATH Keywords

linearizationJacobian conjectureMarkus-Yamabe conjecture

Mathematics Subject Classification ID

Jacobian problem (14R15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Holomorphic maps on manifolds (58C10) Entire functions of several complex variables (32A15)

Related Items (3)

A new class of nilpotent Jacobians in any dimension ⋮ The classification of some polynomial maps with nilpotent Jacobians ⋮ A counterexample to a conjecture of Wright on homogeneous polynomial maps associated with rooted trees

Cites Work

• Chaotic polynomial automorphisms: Counterexamples to several conjectures
• A Jacobian criterion for separability
• A polynomial counterexample to the Markus-Yamabe conjecture
• On cubic-linear polynomial mappings
• An effective approach to Keller's Jacobian conjecture
• A solution to the bidimensional global asymptotic stability conjecture
• Conjugation for polynomial mappings
• On the existence of global analytic conjugations for polynomial mappings of Yagzhev type
• Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian conjecture
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• The discrete Markus–Yamabe problem
• A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
• A criterion to decide if a polynomial map is invertible and to compute the inverse
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