On the Jacobian Question

Details On the Jacobian Question On the Jacobian Question

2006-08-03

arxiv.org/abs/math/0608095v2

Mathematics

General Mathematics

31 pages. Vanishing of Residuum is established using theorem due to Bass, Connell, and Right in [3]

Scientific paper

The direct or algorithmic approach for the Jacobian problem, consisting of the direct construction of the inverse polynomials, using the principle and derived Jacobi conditions discussed in section 2.4 is proposed. The approach is extendable to higher dimensions by identically proceeding on similar lines. As per the result of Bass, Connell, and Right [3] it is enough to show the conjecture to be true for cubic polynomials of special type in n variables. The method of proof for two and three variables cases is discussed first and it is shown that the extension for the several variables case is straightforward. Thus, we show that the problem can be solved completely using the important reduction of the problem to a homogeneous-cubic degree obtained in [3]. The other objective of the paper is to point out the merits of the direct or algorithmic approach for the Jacobian problem, subsequently leading to main objective of settling it in the end using the result in [3].

Affiliated with

Also associated with

No associations

Rating

On the Jacobian Question does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Jacobian Question, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Jacobian Question will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-50884