Unirational fields of transcendence degree one and functional decomposition

Details Unirational fields of transcendence degree one and functional decomposition Unirational fields of transcendence degree one and functional decomposition

2008-05-15

arxiv.org/abs/0805.2338v1

Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation (ISSAC), p. 167-175, ACM, New York, 2001

Computer Science

Symbolic Computation

17 pages (single column)

Scientific paper

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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