A Counterexample to a Conjecture of Meisters

Arno van den Essen ()
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Arno van den Essen: University of Nijmegen, Department of Mathematics

A chapter in Automorphisms of Affine Spaces, 1995, pp 231-233 from Springer

Abstract: Abstract Let F be a cubic homogeneous polynomial map from ℂ n to ℂ n with det JF = 1. Meisters conjectured that sF is linearizable for almost all s ∈ ℂ. We show that the conjecture is true if n ≤ 3 and false if n ≥ 4.

Keywords: Ordinary Differential Equation; Order Term; Algebraic Geometry; Commutative Ring; Polynomial Ring (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-8555-2_17

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DOI: 10.1007/978-94-015-8555-2_17

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