Unirational fields of transcendence degree one and functional decomposition

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.

• Type: Conference
• Year: 2001
• Where: ISSAC
• Authors: Jaime Gutierrez, Rosario Rubio San Miguel, David Sevilla
• Keywords: ISSAC 2001, Mathematics, Multivariate Rational Function, Transcendence Degree, Univariate Rational Function