On function compositions that are polynomials

Description

For a polynomial map $\mathbf{f} : k^n \to k^m$ ($k$ a field), we investigate those polynomials $g \in k[t_1,\ldots, t_n]$ that can be written as a composition $g = h \circ \mathbf{f}$, where $h: k^m \to k$ is an arbitrary function. In the case that $k$ algebraically closed of characteristic $0$ and $\mathbf{f}$ is surjective, we will show that $g = h \circ \mathbf{f}$ implies that $h$ is a polynomial.

Period	31 May 2013
Event title	86th Workshop on General Algebra 86. Arbeitstagung Allgemeine Algebra (AAA86)
Event type	Conference
Location	Czech RepublicShow on map