Related papers: Plane Jacobian problem for rational polynomials

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

This paper has been withdrawn by the author due to its publication

This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2

Withdrawn due to a mistake in jets' Doppler factor modeling. An updated version will appear after revisiting this work.

This paper has been withdrawn because it is a duplicate of [math/0609208].

This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.

The paper was withdrawn by the author. Further research is needed.

This paper was withdrawn by the author due to an edition's rights

This paper has been withdrawn by the author since the proof of Lemma 8 is not correct.

This paper has been withdrawn since it is identical to the paper math.QA/0601267. It was posted by mistake.

This paper has been withdrawn by the authors, due to an error in the proof of Lemma 3.1.

An arithmetic method of proving the irrationality of smooth projective 3-folds is described, using reduction modulo $p$. It is illustrated by an application to a cubic threefold, for which the hypothesis that its intermediate Jacobian is…

This paper has been withdrawn by the author, due an error in claim 1.

This paper has been withdrawn as the proof of Lemma 4.1 is incomplete.

This paper has been withdrawn by the author because there are some typos in proofs.

We prove that the Jacobian conjecture is false if and only if there exists a solution to a certain system of polynomial equations. We analyse the solution set of this system. In particular we prove that it is zero dimensional.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper is withdrawn due to some gaps in the proof

This paper has been withdrawn due to a error in Theorem 3.1.

The paper has been withdrawn due to numerical error.