Related papers: Plane Jacobian problem for rational polynomials

This paper has been withdrawn by the author due to a crucial error in last part of proof.

This paper has been withdrawn by the author due to a crucial problem in Lemma 3. This equation must be changed.

This paper is withdrawn. We found a mistake in Lemma 4.1

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn due to a crucial theoretical error.

This paper has been withdrawn by the author. There is an error on page 3 in the last inequality before Lemma 1.1.

This paper has been withdrawn by the author, due to an error in the proof of lemma 7.4. However, numerical evidence strongly suggest that this lemma is true.

Paper withdrawn due to a crucial algebraic error in section 3.

This paper has been withdrawn because the result turns out to be trivial.

This paper has been withdrawn by the authors due to a more research needed to estimate $h^{*}_{n}(b)$ which really should be written as $h^{*}_{n}(b,A)$ for $b\in \Gamma (t)$.

This paper is withdrawn.

This paper has been withdrawn by the author.

A non-zero constant Jacobian polynomial map $F=(P,Q):\mathbb{C}^2 \longrightarrow \mathbb{C}^2$ has a polynomial inverse if the component $P$ is a simple polynomial, i.e. if, when $P$ extended to a morphism $p:X\longrightarrow \mathbb{P}^1$…

This paper has been withdrawn by the author, due a critical mistake on page 3.

This article has been withdrawn due to an error in a proof of the main result.

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

This paper has been withdrawn by the authors, due a crucial error in the proof of the main theorem.

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.