Unirational fields of transcendence degree one and functional decomposition
Jamie Gutierrez, Rosario Rubio, David Sevilla · 2001
In this paper we present an algorithm to compute all unirational fields of transcendence degree one containing a given finite set of multivariate rational functions. In particular, we provide an algorithm to decompose a multivariate rational function f of the form f = g(h), where g is a univariate rational function and h a multivariate one. 1