>Hello, >Joel Briancon (University of Nice, France) has solved the Jacobian >problem in dimension 2: >Let f,g be two polynomials in C[x,y] such that the Jacobian determinant >is a nonzero complex number. We prove that the polynomial map >(f,g):C2-->C2 is an algebraic automorphism. > >You can find the proof at >http://arxiv.org/abs/math.AG/0512174 > >Best regards, >Marc
Is there overmuch reason to believe this latest announced proof, given the amazing record of the Jacobian problem for eliciting bogus proofs from mathematicians of considerable ability and reputation (as well as others, naturally)? Has, for instance, anyone else with relevant expertise endorsed it yet?