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    Jacobian Conjecture

    Statement

    Suppose f:C^n->C^n is a polynomial map with the property that the derivative at each point is non-singular. Then the Jacobian conjecture posits that f must be one-to-one.

    Alternate name

    Smale's sixteenth problem

    History

    formulation date | 1939 (85 years ago) formulator | Ott-Heinrich Keller status | open

    Classes

    mathematical conjectures | Smale's problems | unsolved mathematics problems

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