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Bounds on the Range of Multivariate Rational Functions

✍ Scribed by Garloff, Jürgen; Schabert, Antek; Smith, Andrew P.


Book ID
118765392
Publisher
John Wiley and Sons
Year
2012
Weight
164 KB
Volume
12
Category
Article
ISSN
1617-7061

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In this paper we discuss several notions of decomposition for multivariate rational functions, and we present algorithms for decomposing multivariate rational functions over an arbitrary field. We also provide a very efficient method to decide if a unirational field has transcendence degree one, and