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dc.contributor.advisorEin, Lawrenceen_US
dc.contributor.authorChou, Chih-Chien_US
dc.date.accessioned2014-10-28T20:13:05Z
dc.date.available2016-11-05T09:30:13Z
dc.date.created2014-08en_US
dc.date.issued2014-10-28
dc.date.submitted2014-08en_US
dc.identifier.urihttp://hdl.handle.net/10027/19077
dc.description.abstractIn this thesis we study singularities in birational geometry. In the first part, we investigate log canonical singularities and its relation with rational singularities. In the second part, we prove a vanishing theorem of log canonical pairs. In the last part, we consider singularities of normal varieties.en_US
dc.language.isoenen_US
dc.rightsen_US
dc.rightsCopyright 2014 Chih-Chi Chouen_US
dc.subjectLog canonical singularitiesen_US
dc.subjectRational singularitiesen_US
dc.subjectVanishing theorems.en_US
dc.titleSingularities in Birational Geometryen_US
thesis.degree.departmentMathematics, Statistics, and Computer Scienceen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Illinois at Chicagoen_US
thesis.degree.levelDoctoralen_US
thesis.degree.namePhD, Doctor of Philosophyen_US
dc.type.genrethesisen_US
dc.contributor.committeeMemberCoskun, Izzeten_US
dc.contributor.committeeMemberPopa, Mihneaen_US
dc.contributor.committeeMemberTucker, Kevinen_US
dc.contributor.committeeMemberNiu, Wenboen_US
dc.type.materialtexten_US


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