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Nontrivial rational polynomials in two variables have reducible fibres

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Publication:4236678
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DOI10.1017/S0004972700032482zbMath0946.14038arXivmath/9805093OpenAlexW2098264179MaRDI QIDQ4236678

Walter D. Neumann, Paul Norbury

Publication date: 22 October 2000

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9805093


zbMATH Keywords

rational curveJacobian conjecturepolynomial map


Mathematics Subject Classification ID

Jacobian problem (14R15) Rational and birational maps (14E05)


Related Items (2)

Rational Curves with One Place at Infinity ⋮ Jacobian pairs of two rational polynomials are automorphisms



Cites Work

  • Two remarks on polynomials in two variables
  • Complex algebraic plane curves via their links at infinity
  • Polynomial maps with constant Jacobian
  • Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
  • Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
  • On the Jacobian conjecture


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