On Subfields of the Function Field of a General Surface in P-3

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dc.contributor.authorLee, Yongnamko
dc.contributor.authorPirola, Gian Pietroko
dc.date.accessioned2016-04-22T08:21:46Z-
dc.date.available2016-04-22T08:21:46Z-
dc.date.created2016-01-19-
dc.date.created2016-01-19-
dc.date.issued2015-
dc.identifier.citationINTERNATIONAL MATHEMATICS RESEARCH NOTICES, no.24, pp.13245 - 13259-
dc.identifier.issn1073-7928-
dc.identifier.urihttp://hdl.handle.net/10203/205949-
dc.description.abstractIn this paper, we study birational immersions from a very general smooth plane curve to a nonrational surface with p(g) = q = 0 to treat dominant rational maps from a very general surface X of degree >= 5 in P-3 to smooth projective surfaces Y. Based on the classification theory of algebraic surfaces, Hodge theory, and deformation theory, we prove that there is no dominant rational map from X to Y unless Y is rational or Y is birational to X.-
dc.languageEnglish-
dc.publisherOXFORD UNIV PRESS-
dc.subjectPLURICANONICAL SYSTEMS-
dc.subjectRATIONAL MAPS-
dc.subjectVARIETIES-
dc.titleOn Subfields of the Function Field of a General Surface in P-3-
dc.typeArticle-
dc.identifier.wosid000366967500009-
dc.identifier.scopusid2-s2.0-84952683472-
dc.type.rimsART-
dc.citation.issue24-
dc.citation.beginningpage13245-
dc.citation.endingpage13259-
dc.citation.publicationnameINTERNATIONAL MATHEMATICS RESEARCH NOTICES-
dc.identifier.doi10.1093/imrn/rnv107-
dc.contributor.localauthorLee, Yongnam-
dc.contributor.nonIdAuthorPirola, Gian Pietro-
dc.type.journalArticleArticle-
dc.subject.keywordPlusPLURICANONICAL SYSTEMS-
dc.subject.keywordPlusRATIONAL MAPS-
dc.subject.keywordPlusVARIETIES-
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