{"@context":"http://iiif.io/api/presentation/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/manifest.json","@type":"sc:Manifest","label":"Homogeneous Fibrations over Curves","metadata":[{"label":"dc.description.sponsorship","value":"This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree."},{"label":"dc.format","value":"Monograph"},{"label":"dc.format.medium","value":"Electronic Resource"},{"label":"dc.identifier.uri","value":"http://hdl.handle.net/11401/71477"},{"label":"dc.language.iso","value":"en_US"},{"label":"dc.publisher","value":"The Graduate School, Stony Brook University: Stony Brook, NY."},{"label":"dcterms.abstract","value":"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."},{"label":"dcterms.available","value":"2015-04-24T14:47:42Z"},{"label":"dcterms.contributor","value":"de Jong, Johan."},{"label":"dcterms.creator","value":"Zhu, Yi"},{"label":"dcterms.dateAccepted","value":"2013-05-22T17:35:56Z"},{"label":"dcterms.dateSubmitted","value":"2013-05-22T17:35:56Z"},{"label":"dcterms.description","value":"Department of Mathematics"},{"label":"dcterms.extent","value":"88 pg."},{"label":"dcterms.format","value":"Application/PDF"},{"label":"dcterms.identifier","value":"http://hdl.handle.net/1951/59940"},{"label":"dcterms.issued","value":"2012-05-01"},{"label":"dcterms.language","value":"en_US"},{"label":"dcterms.provenance","value":"Made available in DSpace on 2015-04-24T14:47:42Z (GMT). No. of bitstreams: 3\nZhu_grad.sunysb_0771E_10874.pdf.jpg: 1894 bytes, checksum: a6009c46e6ec8251b348085684cba80d (MD5)\nZhu_grad.sunysb_0771E_10874.pdf.txt: 99996 bytes, checksum: 59129e1e76cda783cc1314b195f1aa9f (MD5)\nZhu_grad.sunysb_0771E_10874.pdf: 557796 bytes, checksum: f9a839eb30d6445be7f3c2f277797722 (MD5)\n  Previous issue date:    1"},{"label":"dcterms.publisher","value":"The Graduate School, Stony Brook University: Stony Brook, NY."},{"label":"dcterms.subject","value":"elementary obstructions, homogeneous spaces, rational curves, rationally simply connected, rational points"},{"label":"dcterms.title","value":"Homogeneous Fibrations over Curves"},{"label":"dcterms.type","value":"Dissertation"},{"label":"dc.type","value":"Dissertation"}],"description":"This manifest was generated dynamically","viewingDirection":"left-to-right","sequences":[{"@type":"sc:Sequence","canvases":[{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json","@type":"sc:Canvas","label":"Page 1","height":1650,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/14%2F57%2F15%2F145715815169780375827757398067421113128/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","height":1650,"width":1275,"service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/14%2F57%2F15%2F145715815169780375827757398067421113128","profile":"http://iiif.io/api/image/2/level2.json"}},"on":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json"}]}]}]}