There are no Keller maps having prime degree field extensions
Abstract
The two-dimensional Jacobian Conjecture says that a Keller map f: (x,y) (p,q) ∈ k[x,y]2 having an invertible Jacobian is an automorphism of k[x,y]. We prove that there is no Keller map with [k(x,y): k(p,q)] prime.
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