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The Jacobian conjecture and the extensions of polynomial embeddings

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Publication:1195984
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DOI10.1007/BF01934327zbMath0757.14007OpenAlexW2053046073WikidataQ123365525 ScholiaQ123365525MaRDI QIDQ1195984

Zbigniew Jelonek

Publication date: 12 January 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165003


zbMATH Keywords

Jacobian conjectureAbhyankar conjectureAbhyankar-Moh propertyembedding of the \(n\)-crossextension of polynomial automorphismMcKay-Wang conjecture


Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Power series, series of functions of several complex variables (32A05) Automorphisms of curves (14H37)


Related Items (1)

Complex hypersurfaces diffeomorphic to affine spaces



Cites Work

  • The extension of regular and rational embeddings
  • On the inversion formula for two polynomials in two variables
  • Identity sets for polynomial automorphisms
  • Irreducible identity sets for polynomial automorphisms
  • On the embedding dimension of an affine variety
  • The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
  • On Linear Planes


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