Unirational fields of transcendence degree one and functional decomposition
classification
💻 cs.SC
math.AC
keywords
multivariaterationalalgorithmdegreefieldsfunctiontranscendenceunirational
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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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