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dc.contributor.advisorVoloch, José Felipeen
dc.creatorSun, Chia-Liangen
dc.date.accessioned2011-07-06T15:17:11Zen
dc.date.available2011-07-06T15:17:11Zen
dc.date.issued2011-05en
dc.date.submittedMay 2011en
dc.identifier.urihttp://hdl.handle.net/2152/ETD-UT-2011-05-2793en
dc.descriptiontexten
dc.description.abstractThis thesis consists of three chapters. Chapter 1 explains how the research problems considered in this thesis fit into the investigation of local-global principle in the diophantine geometry, as well as gives a unified sketch of the proofs of the two main results in this thesis. Chapter 2 establishes a similar conclusion to Theorem B of a paper by Poonen and Voloch in another settings. Chapter 3 relates to the object considered in the main result of Chapter 2 to an old conjecture proposed by Skolem and solves some cases of its analog.en
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.subjectBrauer-Manin obstructionen
dc.subjectSkolem's conjectureen
dc.subjectArithmetical algebraic geometryen
dc.subjectDiophantine analysisen
dc.subjectLocal-global principleen
dc.subjectGeometry, Algebraicen
dc.titleThe intersection of closure of global points of a semi-abelian variety with a product of local points of its subvarietiesen
dc.date.updated2011-07-06T15:17:15Zen
dc.identifier.slug2152/ETD-UT-2011-05-2793en
dc.contributor.committeeMemberVaaler, Je ffrey D.en
dc.contributor.committeeMemberRodriguez-Villegas, Fernandoen
dc.contributor.committeeMemberHelm, David F.en
dc.contributor.committeeMemberTan, Ki-Sengen
dc.description.departmentMathematicsen
dc.type.genrethesisen
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorUniversity of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen


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