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    The intersection of closure of global points of a semi-abelian variety with a product of local points of its subvarieties

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    SUN-DISSERTATION.pdf (390.6Kb)
    Date
    2011-05
    Author
    Sun, Chia-Liang
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    Abstract
    This thesis consists of three chapters. Chapter 1 explains how the research problems considered in this thesis fit into the investigation of local-global principle in the diophantine geometry, as well as gives a unified sketch of the proofs of the two main results in this thesis. Chapter 2 establishes a similar conclusion to Theorem B of a paper by Poonen and Voloch in another settings. Chapter 3 relates to the object considered in the main result of Chapter 2 to an old conjecture proposed by Skolem and solves some cases of its analog.
    Department
    Mathematics
    Description
    text
    Subject
    Brauer-Manin obstruction
    Skolem's conjecture
    Arithmetical algebraic geometry
    Diophantine analysis
    Local-global principle
    Geometry, Algebraic
    URI
    http://hdl.handle.net/2152/ETD-UT-2011-05-2793
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