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    A criterion for toric varieties

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    YAOACTIVE2013-DISSERTATION-2013.pdf (251.1Kb)
    Date
    2013-08
    Author
    Yao, Yuan, active 2013
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    Abstract
    We consider the pair of a smooth complex projective variety together with an anti-canonical simple normal crossing divisor (we call it "log Calabi- Yau"). Standard examples are toric varieties together with their toric boundaries (we call them "toric pairs"). We provide a numerical criterion for a general log Calabi-Yau to be toric by an inequality between its dimension, Picard number and the number of boundary components. The problem originates in birational geometry and our proof is constructive, motivated by mirror symmetry.
    Department
    Mathematics
    Description
    text
    Subject
    Toric variety
    Birational geometry
    Mirror symmetry
    URI
    http://hdl.handle.net/2152/21178
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