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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 (86 years ago)
formulator | Ott-Heinrich Keller
status | open

Classes

mathematical conjectures | Smale's problems | unsolved mathematics problems

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