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dc.contributor.advisorStarr, Jason , Laza, Raduen_US
dc.contributor.authorZhu, Yien_US
dc.contributor.otherDepartment of Mathematicsen_US
dc.date.accessioned2013-05-22T17:35:56Z
dc.date.available2013-05-22T17:35:56Z
dc.date.issued1-May-12en_US
dc.date.submitted12-Mayen_US
dc.identifierZhu_grad.sunysb_0771E_10874en_US
dc.identifier.urihttp://hdl.handle.net/1951/59940
dc.description88 pg.en_US
dc.description.abstractA basic question in arithmetic geometry is whether a variety defined over a non-closed field admits a rational point. When the base field is of geometric nature, i.e., function fields of varieties, one hopes to solve the problem via purely algebraically geometric methods. In this thesis, we study the geometry of the moduli space of sections of a projective homogeneous space fibration over an algebraic curve. It leads to answers for the existence of rational points on projective homogeneous spaces defined either over a global function field or over a function field of a complex algebraic surface.en_US
dc.description.sponsorshipStony Brook University Libraries. SBU Graduate School in Department of Mathematics. Charles Taber (Dean of Graduate School).en_US
dc.formatElectronic Resourceen_US
dc.language.isoen_USen_US
dc.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.en_US
dc.subject.lcshMathematicsen_US
dc.subject.otherelementary obstructions, homogeneous spaces, rational curves, rationally simply connected, rational pointsen_US
dc.titleHomogeneous Fibrations over Curvesen_US
dc.typeDissertationen_US
dc.description.advisorAdvisor(s): Starr, Jason ; Laza, Radu. Committee Member(s): Grushevsky, Samuel ; de Jong, Johan.en_US
dc.mimetypeApplication/PDFen_US


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