Iterated Images and the Plane Jacobian Conjecture

Details Iterated Images and the Plane Jacobian Conjecture Iterated Images and the Plane Jacobian Conjecture

2004-11-11

arxiv.org/abs/math/0411245v2

Discrete Contin. Dyn. Syst. 16 (2006), no. 2, 455--461.

Mathematics

Algebraic Geometry

7 pages, AMSLaTeX, revised in response to referees' suggestions, typos corrected, refrences expanded, to appear in Discrete an

Scientific paper

We show that the iterated images of a Jacobian pair stabilize; that is, the k-th iterates of a polynomial map of complex two-space to itself with a nonzero constant Jacobian determinant all have the same image for sufficiently large k. More generally, we obtain the same result for open polynomial maps of a closed algebraic subset X of complex N-space to itself that have finite coimage, and for cofinite subsets of such an X invariant under the map. We apply these results to obtain a new characterization of the two dimensional complex Jacobian conjecture related to questions of surjectivity.

Affiliated with

Also associated with

No associations

Rating

Iterated Images and the Plane Jacobian Conjecture 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 Iterated Images and the Plane Jacobian Conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Iterated Images and the Plane Jacobian Conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-273991