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Israel Journal of Mathematics

, Volume 32, Issue 2–3, pp 97–106 | Cite as

Polynomial maps with constant Jacobian

  • Michael Razar
Article

Abstract

It has been long conjectured that ifn polynomialsf 1, …,f n inn variables have a (non-zero) constant Jacobian determinant then every polynomial can be expressed as a polynomial inf 1, …,f n. In this paper, various extra assumptions (particularly whenn=2) are shown to imply the conclusion. These conditions are discussed algebraically and geometrically.

Keywords

Prime Ideal Integral Domain Polynomial Ring Characteristic Zero Galois Extension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© The Weizmann Science Press of Israel 1979

Authors and Affiliations

  • Michael Razar
    • 1
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA

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