1998/12/05 by L. Andrew Campbell, Campbell, L. Andrew · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #14E05 #26B10 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Lipid metabolism and biosynthesis #Polynomial and algebraic computation #math.AG #msc:14E05 #msc:26B10
paper · pdf · doi:10.48550/arxiv.math/9812032
10 .tex files (ppr.tex = root); 3 encapsulated ps files (*.eps); 12 pages; originally presented 9 May 1997 at A Conference Honoring the Mathematical Work og Gary H. Meisters -- Lincoln, NB. See the following URL: http://www.math.unl.edu/Dept/Conferences/97Meisters/
arxiv created 1998/12/05 · openalex publication_date 1998/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.