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Topic: Jacobian problem in dimension 2 solved
Replies: 10   Last Post: Dec 22, 2005 10:48 PM

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marcfrisch@hotmail.com

Posts: 3
Registered: 6/18/05
Jacobian problem in dimension 2 solved
Posted: Dec 12, 2005 6:08 AM
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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




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