Related papers: Plane Jacobian problem for rational polynomials
The paper is withdrawn due to an error in Section 2.
This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.
This paper has been withdrawn by the authors due to a mistake in the proof of the chief result. In particular Theorem 1.3 is correct, while Theorem 1.1 and Theorem 1.2 hold with \mu>0 and a suitable restriction on the exponent p. The proof…
This paper has been withdrawn due to a crucial theoretical and experimental error.
This paper has been withdrawn by the author because the conclusions reached in it are incorrect.
Let K be an algebraically closed field of characteristic zero and let f(x,y) be a nonzero polynomial of K[x,y]. We prove that if the generic element of the family $(f-\lambda)\_{\lambda}$ is a rational polynomial, and if the Jacobian J(f,g)…
This paper has been withdrawn by the authors due to some fatal errors in the analysis.
The paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the authors due to its publication
This paper has been withdrawn because Proposition 2.2 (c) is false. This invalids the main results of section 2 and 3. We thank A. Canonaco for pointing us the error.
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been withdrawn by the authors due to crucial error in the main proof (located in Section 2.4).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This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.
Paper withdrawn. There is a gap in the proof of Proposition 4.3 (its conclusion ``d'o\`{u} la proposition.'' is incorrect). Therefore theorems 1.1 and 3.1, which were the main results of the paper, are not proved.
The Jacobian Conjecture states that any locally invertible polynomial system in C^n is globally invertible with polynomial inverse. C. W. Bass et al. (1982) proved a reduction theorem stating that the conjecture is true for any degree of…
This paper has been withdrawn by the author due to an error in Lemma 3, making the (bijective) proof of Theorem 4 and Corollary 5 invalid (symmetry of k-nonnesting and k-noncrossing set partitions).
This paper was withdrawn by the authors due an error in the elimination of the front in the linearized interior equations (28)-(29).
This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.
This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.
The paper is withdrawn due to mistakes in the proofs for Proposition 1.2 and Theorem 2.2.