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    Toric schemes over a discrete valuation ring and tropical compactifications

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    quz61271.pdf (415.9Kb)
    Date
    2009-08
    Author
    Qu, Zhenhua, 1981-
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    Abstract
    Let Y be a subvariety of an algebraic torus, Tevelv (24) defined and studied tropical compactifications as certain nice compactifications of Y. We give a criterion for certain compactification to be a schön compactification, and as a corollary, we show that any variety contains an open very affine schön variety. Using toric schemes defined over a discrete valuation ring, we generalize the theory of tropical compactification to the nonconstant coefficient case, i.e. for varieties defined over a discrete valuation ring.
    Department
    Mathematics
    Description
    text
    Subject
    Toric schemes
    Discrete valuation ring
    Tropical compactifications
    Schön variety
    URI
    http://hdl.handle.net/2152/10604
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