COX RINGS OF RATIONAL SURFACES AND REDUNDANT BLOW-UPS

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dc.contributor.authorHwang, Dongseonko
dc.contributor.authorPark, Jinhyungko
dc.date.accessioned2016-11-09T06:23:20Z-
dc.date.available2016-11-09T06:23:20Z-
dc.date.created2016-10-27-
dc.date.created2016-10-27-
dc.date.created2016-10-27-
dc.date.issued2016-11-
dc.identifier.citationTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.368, no.11, pp.7727 - 7743-
dc.identifier.issn0002-9947-
dc.identifier.urihttp://hdl.handle.net/10203/213847-
dc.description.abstractWe prove that the redundant blow-up preserves the finite generation of the Cox ring of a rational surface under a suitable assumption, and we study the birational structure of Mori dream rational surfaces via redundant blow-ups. It turns out that the redundant blow-up completely characterizes birational morphisms of Mori dream rational surfaces with anticanonical Iitaka dimension 0. As an application, we construct new Mori dream rational surfaces with anticanonical Iitaka dimension 0 and - infinity of arbitrarily large Picard number-
dc.languageEnglish-
dc.publisherAMER MATHEMATICAL SOC-
dc.titleCOX RINGS OF RATIONAL SURFACES AND REDUNDANT BLOW-UPS-
dc.typeArticle-
dc.identifier.wosid000384315600008-
dc.identifier.scopusid2-s2.0-84987797069-
dc.type.rimsART-
dc.citation.volume368-
dc.citation.issue11-
dc.citation.beginningpage7727-
dc.citation.endingpage7743-
dc.citation.publicationnameTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY-
dc.identifier.doi10.1090/tran/6611-
dc.contributor.localauthorPark, Jinhyung-
dc.contributor.nonIdAuthorHwang, Dongseon-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorRedundant blow-up-
dc.subject.keywordAuthorrational surface-
dc.subject.keywordAuthorCox ring-
dc.subject.keywordAuthorMori dream space-
dc.subject.keywordAuthorZariski decomposition-
dc.subject.keywordPlusTOTAL COORDINATE RING-
dc.subject.keywordPlusALGEBRAIC-SURFACES-
dc.subject.keywordPlusCONE-
dc.subject.keywordPlusVARIETIES-
dc.subject.keywordPlusDIMENSION-
dc.subject.keywordPlusDIVISOR-
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