Related papers: Endomorphisms of polynomial rings and Jacobians

This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

This paper has been withdrawn by the author due to an erro thereon line -2 of page 4.

This article has been withdrown by the author.

This paper has been withdrawn by the author due to a crucial error in the last lines in the proof of Lemma 3.3.

This article has been withdrown.

withdrawed due to a substantial error.

This paper has been withdrawn by the authors due to an error in Section 7.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author, due to a crucial error in page 5.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).

This paper has been withdrawn by the author because there are some typos in proofs.

This paper has been withdrawn by the author(s), due a crucial sign error in conclusion .

The paper has been withdrawn by the author due to a crucial error.

The paper is withdrawn.

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the author due to an error in the main proof (thanks to Carlos D'Andrea)

This paper has been withdrawn by the authors due to an error.

This paper has been withdrawn by the author due to a crucial error in the submission action.

This paper has been withdrawn due to a crucial error in the proof of the main theorem