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    Geometric compactification of moduli space of cubic surfaces and Kirwan blowup

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    Author
    Zhang, Jun
    Date
    2005
    Advisor
    Hassett, Brendan E.
    Degree
    Doctor of Philosophy
    Abstract
    We compactify the moduli space of cubic surfaces by constructing a moduli stack of stable cubic and triploid surfaces, together with a projective coarse moduli space. We also give a detailed geometric interpretation. This compactification coincides with the Naruki Cross Ratio Variety. We also show that this compactification can be obtained by taking a certain weighted blowup along the strictly semi-stable stratum from Kirwan's stratification and partial desingularization procedures.
    Keyword
    Mathematics
    Citation
    Zhang, Jun. "Geometric compactification of moduli space of cubic surfaces and Kirwan blowup." (2005) Diss., Rice University. https://hdl.handle.net/1911/19005.
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    • Rice University Electronic Theses and Dissertations [13409]

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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
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    Site Map