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.

Smale's sixteenth problem

formulation date | 1939 (87 years ago) formulator | Ott-Heinrich Keller status | open

mathematical conjectures | Smale's problems | unsolved mathematics problems