Related papers: Plane Jacobian problem for rational polynomials

The paper has been withdrawn due to a crucial error in section 3.

This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.

This paper has been withdrawn by the author. Indeed, the identity Jac(F\_j,Psi)=Psi^s in part 2.2. has to be proved.

This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).

This paper is withdrawn because of an error in Lemma 3.1

This paper has been withdrawn by the author due to an error in the main proof (thanks to Carlos D'Andrea)

This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

A non-zero constant Jacobian polynomial maps $F=(P,Q)$ of $\mathbb{C}^2$ is invertible if $P$ and $Q$ are rational polynomials.

This paper is being withdrawn because an error was discovered in lemma 4.3. Although the rest of the paper appears to be correct, this error invalidates the proof of theorem 3.1 and theorem 3.3.

This paper has been withdrawn by the author due to a gap in the proof of Lemma 3.4

This paper has been withdrawn by the author due to a serious mistake on Lemma 2.4.

This paper has been withdrawn by the author due to a crucial sign error in Theorem 3.4.

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

This paper has been withdrawn by the author due to a crucial error in equation (51).

This paper has been withdrawn by the author due to an error.

The said paper entitled "A Proof Of The Plane Jacobian Conjecture" is not true.

This paper has been withdrawn by the author due to some errors.

This paper has been withdrawn by author due to an error in the proof.

This paper has been withdrawn by the author due to a crucial mistakes.

This paper has been withdrawn by the author due to a crucial error.