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arXiv · 0805.2338

Unirational fields of transcendence degree one and functional decomposition

Jaime Gutierrez·Rosario Rubio·David Sevilla
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Abstract

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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Jaime Gutierrez, Rosario Rubio, David Sevilla. 2008-05-15. Unirational fields of transcendence degree one and functional decomposition. https://arxiv.org/abs/0805.2338

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