Unirational fields of transcendence degree one and functional decomposition

Jaime Gutierrez, Rosario Rubio, David Sevilla

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.

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