David C. Ullrich <firstname.lastname@example.org> writes:
>On 12 Dec 2005 06:19:36 -0500, email@example.com (Lee Rudolph) wrote: > >>firstname.lastname@example.org writes: >> >>>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? > >I wouldn't know about the history of the problem, but >it seems to me that they couldn't post it on the internet >if it wasn't right. Or at least they wouldn't.