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#### Article: Reconstructing birational maps from their face functions

Title Reconstructing birational maps from their face functions Li, WYu, JT 1992 Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00229/index.htm Manuscripta Mathematica, 1992, v. 76 n. 1, p. 353-366 How to Cite? We first prove that any birational map, from an affine space of dimension ≥ 2 to itself, is not determined by its face functions. On the other hand, we prove that a birational map with irreducibly polynomial inverse is completely determined, within the class of all birational maps with irreducibly polynomial inverses, by its face functions. We show also how to effectively reconstruct such a map from its face functions. © 1992 Springer-Verlag. http://hdl.handle.net/10722/156231 0025-26112015 Impact Factor: 0.5912015 SCImago Journal Rankings: 0.967 WOS:A1992JV06000010

DC FieldValueLanguage
dc.contributor.authorLi, Wen_US
dc.contributor.authorYu, JTen_US
dc.date.accessioned2012-08-08T08:40:56Z-
dc.date.available2012-08-08T08:40:56Z-
dc.date.issued1992en_US
dc.identifier.citationManuscripta Mathematica, 1992, v. 76 n. 1, p. 353-366en_US
dc.identifier.issn0025-2611en_US
dc.identifier.urihttp://hdl.handle.net/10722/156231-
dc.description.abstractWe first prove that any birational map, from an affine space of dimension ≥ 2 to itself, is not determined by its face functions. On the other hand, we prove that a birational map with irreducibly polynomial inverse is completely determined, within the class of all birational maps with irreducibly polynomial inverses, by its face functions. We show also how to effectively reconstruct such a map from its face functions. © 1992 Springer-Verlag.en_US
dc.languageengen_US
dc.relation.ispartofManuscripta Mathematicaen_US
dc.titleReconstructing birational maps from their face functionsen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/BF02567766en_US
dc.identifier.scopuseid_2-s2.0-51249165640en_US
dc.identifier.volume76en_US
dc.identifier.issue1en_US
dc.identifier.spage353en_US
dc.identifier.epage366en_US
dc.identifier.isiWOS:A1992JV06000010-
dc.publisher.placeGermanyen_US