相关论文: Comment on a Paper by Kuo, Parusinski and Paunescu…
This paper has been withdrawn by the authors due to an error in Section 7.
The said paper [Su2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is false.
The said paper [2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is with gaps.
This paper has been withdrawn by the author due to a crucial error in the last lines in the proof of Lemma 3.3.
Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.
This paper has been withdrawn by the author due to an erro thereon line -2 of page 4.
This paper is cancelled
We show that the Jacobian conjecture of the two dimensional case is true.
We do not know whether the main result is true, the proof of theorem 2.1 contains a gap.
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
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.
It is shown that every polynomial function $P : \mathbb{C}^2\longrightarrow \mathbb{C}$ with irreducible fibres of same a genus is a coordinate. In consequence, there does not exist counterexamples F = (P,Q) to the Jacobian conjecture such…
The Jacobian conjecture is an old unsolved problem in mathematics, which has been unsuccessfully attacked from many different angles. We add here another point of view pertaining to the so called formal inverse approach, that of…
This paper has been withdrawn by the authors due to the fact that the conjecture has indeed already long been established.
withdrawed due to a substantial error.
This paper has been withdrawn.
One of the aims of this article is to provide a class of polynomial mappings for which the Jacobian conjecture is true. Also, we state and prove several global univalence theorems and present a couple of applications of them.
The article provides a counterexample to a conjecture by Blocki-Zwonek.
This paper has been withdrawn by the authors due to crucial error in the main proof (located in Section 2.4). The authors apologize for any inconveniences.
This paper has been withdrawn by the author due to a crucial argument error at p.10.