Lately some papers were posted on the arXiv claiming to solve the plane Jacobian conjecture. Fortunately, T.T. Moh took the time to crack these attempts and posted the mistakes they made also on the arXiv : Comment on a Paper by Yucai Su On Jacobian Conjecture and Comment on a Paper by Kuo, Parusinski and Paunescu On Jacobian Conjecture. Both papers are only 2 pages long but are fun reading.

This note was written on Oct 10, 2005 and was sent to the authors. At once they replied to insist that they are correct, which was natural. After a month we checked the website of Parusinski, and found that a new sentence ”The proof contains some gaps in section 7” by the authors without mentioning any objection by us.

So, the plane Jacobian conjecture remains open, at least for now..

As for Kuo and his collaborators, we believe that they have a good taste of mathematics, and wish that they will push the analytic method deeper to solve the Jacobian Conjecture.

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Posted in rants
Written on Sat, 24 December 2005 at 6:42 pm
Tags: arxiv
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