Mathematische Zeitschrift

, Volume 217, Issue 1, pp 1–4 | Cite as

A counterexamle to the strong real Jacobian conjecture

  • Sergey Pinchuk


Polynomial Mapping Polynomial Solution Homogeneous Part Expansion Technique Complex Coefficient 
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    S.S. Abhyankar, Expansion techniques in algebraic geometry. Tata Inst. Fundamental Research, Bombay 1977zbMATHGoogle Scholar
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    H. Bass, E. Connel, D. Wright, The Jacobian Conjecture: reduction of degree and formal expansion of the inverse. Bull. Am. Math. Soc.7 (1982), 287–330zbMATHCrossRefGoogle Scholar
  3. 3.
    J.D. Randall, The real Jacobian Problem. Proc. Symp. Pure Math.40, part 2 (1983), 411–414MathSciNetGoogle Scholar
  4. 4.
    A.G. Vitushkin, On polynomial transformations of ℂn. Tokyo Univ. Press, Tokyo 1975, 415–417Google Scholar

Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Sergey Pinchuk
    • 1
    • 2
  1. 1.Department of MathematicsBashkir State UniversityUfaRussia
  2. 2.Department of MathematicsIndiana UniversityBloomingtonUSA

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