| 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.available | 2013-05-22T17:35:56Z | |
| dc.date.issued | 1-May-12 | en_US |
| dc.date.submitted | 12-May | en_US |
| dc.identifier | Zhu_grad.sunysb_0771E_10874 | en_US |
| dc.identifier.uri | http://hdl.handle.net/1951/59940 | |
| 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 | Stony Brook University Libraries. SBU Graduate School in Department of Mathematics. Charles Taber (Dean of Graduate School). | en_US |
| dc.format | 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.description.advisor | Advisor(s): Starr, Jason ; Laza, Radu. Committee Member(s): Grushevsky, Samuel ; de Jong, Johan. | en_US |
| dc.mimetype | Application/PDF | en_US |
