Picturing Pinchuk's Plane Polynomial Pair

Details Picturing Pinchuk's Plane Polynomial Pair Picturing Pinchuk's Plane Polynomial Pair

1998-12-05

arxiv.org/abs/math/9812032v1

Mathematics

Algebraic Geometry

10 .tex files (ppr.tex = root); 3 encapsulated ps files (*.eps); 12 pages; originally presented 9 May 1997 at A Conference Hon

Scientific paper

Sergey Pinchuk discovered a class of pairs of real polynomials in two variables that have a nowhere vanishing Jacobian determinant and define maps of the real plane to itself that are not one-to-one. This paper describes the asymptotic behavior of one specific map in that class. The level of detail presented permits a good geometric visualization of the map. Errors in an earlier description of the image of the map are corrected (the complement of the image consists of two, not four, points). Techniques due to Ronen Peretz are used to verify the description of the asymptotic variety of the map.

Affiliated with

Also associated with

No associations

Rating

Picturing Pinchuk's Plane Polynomial Pair 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 Picturing Pinchuk's Plane Polynomial Pair, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Picturing Pinchuk's Plane Polynomial Pair will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-458022