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Homogeneous Fibrations over Curves

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dc.contributor.advisor Starr, Jason , Laza, Radu en_US
dc.contributor.author Zhu, Yi en_US
dc.contributor.other Department of Mathematics en_US
dc.date.accessioned 2013-05-22T17:35:56Z
dc.date.accessioned 2015-04-24T14:47:42Z
dc.date.available 2013-05-22T17:35:56Z
dc.date.available 2015-04-24T14:47:42Z
dc.date.issued 2012-05-01
dc.identifier Zhu_grad.sunysb_0771E_10874 en_US
dc.identifier.uri http://hdl.handle.net/1951/59940 en_US
dc.identifier.uri http://hdl.handle.net/11401/71477 en_US
dc.description 88 pg. en_US
dc.description.abstract A 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.sponsorship This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. en_US
dc.format Monograph en_US
dc.format.medium Electronic Resource en_US
dc.language.iso en_US en_US
dc.publisher The Graduate School, Stony Brook University: Stony Brook, NY. en_US
dc.subject.lcsh Mathematics en_US
dc.subject.other elementary obstructions, homogeneous spaces, rational curves, rationally simply connected, rational points en_US
dc.title Homogeneous Fibrations over Curves en_US
dc.type Dissertation en_US
dc.mimetype Application/PDF en_US
dc.contributor.committeemember Grushevsky, Samuel en_US
dc.contributor.committeemember de Jong, Johan. en_US

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