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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

Grothendieck Duality and Q-Gorenstein Morphisms

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dc.contributor.authorLee, Yongnamko
dc.contributor.authorNakayama, Noboruko
dc.date.accessioned2018-08-20T08:07:18Z-
dc.date.available2018-08-20T08:07:18Z-
dc.date.created2018-08-13-
dc.date.created2018-08-13-
dc.date.created2018-08-13-
dc.date.issued2018-08-
dc.identifier.citationPUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, v.54, no.3, pp.517 - 648-
dc.identifier.issn0034-5318-
dc.identifier.urihttp://hdl.handle.net/10203/244960-
dc.description.abstractThe notions of a Q-Gorenstein scheme and a Q-Gorenstein morphism are introduced for locally Noetherian schemes by dualizing complexes and (relative) canonical sheaves. These cover all the previously known notions of a Q-Gorenstein algebraic variety and a Q-Gorenstein deformation satisfying the Kollar condition, over a field. By studying the relative S-2-condition and base change properties, valuable results are proved for Q-Gorenstein morphisms, which include the infinitesimal criteria, the valuative criterion, and Q-Gorenstein refinements.-
dc.languageEnglish-
dc.publisherKYOTO UNIV, PUBLICATIONS RESEARCH INST MATHEMATICAL SCIENCES-
dc.subjectGENERAL TYPE-
dc.subjectBASE CHANGE-
dc.subjectMODULI-
dc.subjectDEFORMATIONS-
dc.subjectPROJECTIVITY-
dc.subjectVARIETIES-
dc.subjectFLATNESS-
dc.subjectSURFACES-
dc.subjectCRITERIA-
dc.subjectSHEAVES-
dc.titleGrothendieck Duality and Q-Gorenstein Morphisms-
dc.typeArticle-
dc.identifier.wosid000439848900003-
dc.identifier.scopusid2-s2.0-85053165389-
dc.type.rimsART-
dc.citation.volume54-
dc.citation.issue3-
dc.citation.beginningpage517-
dc.citation.endingpage648-
dc.citation.publicationnamePUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES-
dc.identifier.doi10.4171/PRIMS/54-3-3-
dc.contributor.localauthorLee, Yongnam-
dc.contributor.nonIdAuthorNakayama, Noboru-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorGrothendieck duality-
dc.subject.keywordAuthorQ-Gorenstein morphism-
dc.subject.keywordPlusGENERAL TYPE-
dc.subject.keywordPlusBASE CHANGE-
dc.subject.keywordPlusMODULI-
dc.subject.keywordPlusDEFORMATIONS-
dc.subject.keywordPlusPROJECTIVITY-
dc.subject.keywordPlusVARIETIES-
dc.subject.keywordPlusFLATNESS-
dc.subject.keywordPlusSURFACES-
dc.subject.keywordPlusCRITERIA-
dc.subject.keywordPlusSHEAVES-
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