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    Homogeneous Fibrations over Curves

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    Zhu_grad.sunysb_0771E_10874.pdf (544.7Kb)
    Date
    1-May-12
    Author
    Zhu, Yi
    Publisher
    The Graduate School, Stony Brook University: Stony Brook, NY.
    Metadata
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    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.
    Description
    88 pg.
    URI
    http://hdl.handle.net/1951/59940
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    • Stony Brook Theses & Dissertations [SBU] [1955]

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