Department of Mathematics
University of Missouri
Polynomial mappings
The basic example of a
polynomial mapping is the map F=(f_1,...,f_n) between complex vector
spaces V and W of dimensions m and n respectively, given be n
polynomials f_1,...,f_n in m variables. Of course the structure
of such mappings is in general very complicated, but in many
cases the map can be factored by sequences of monomial
mappings and inverse monomial mappings. We will describe classical
results on this problem, recent progress, and some outstanding open
problems.