Related papers: On Jacobian conjecture
This paper has been withdrawn as the statements in Proposition 4.4 and Theorem 1.4(i) are not correct.
This paper has been withdrawn by the author due to some error in the result
Paper has been withdrawn due to a critical error in the numerical evaluation of the capture fraction.
Reason for withdrawal: There is a serious mistake in the calculation of the divisor of the rational section used in the proof of Prop. 2.2.1., and with the correct value the argument does not work.
We have observed a gap in one of the arguments in the main theorem. We choose to withdraw the paper until we rectify the gap.
This paper is withdrawn by the author due to a critical error in the proof of the main theorem, Theorem 3.10. (More specifically the identity (5.18) is incorrect in that the $T^*S^1(2)$-factor is missing in the right hand side of the…
This paper has been withdrawn by the author due to the incorrect argument for the security.
This paper has been withdrawn by the author due to a crucial error in equation.
This paper has been withdrawn by the author.
Admin note: withdrawn by arXiv admin because of the use of a pseudonym, in violation of arXiv policy.
This paper was withdrawn as it may have appeared elsewhere, although in a different form.
This paper has been withdrawn by the author due to a crucial error in several equations.
A particular case of the Jacobian conjecture is considered and for small dimensional cases a computational approach is offered
The paper is withdrawn due to some errors.
The paper is withdrawn due to mistakes in the proofs for Proposition 1.2 and Theorem 2.2.
This paper has been withdrawn by the author due to a crucial error in eq.59. I apologize for the inconveniences.
This paper has been withdrawn due to fundamental errors.
This paper has been withdrawn due to an error in the proof of Theorem 5.3.
This paper has been withdrawn by the author, due a crucial error in the optimization. For the last one month I have been trying to remove the error, but it seems to take a lot of time so I decided to withdraw this paper for the moment.
This submission has been withdrawn at the request of the author.