Hassett, Brendan E.2009-06-042009-06-042005Zhang, Jun. "Geometric compactification of moduli space of cubic surfaces and Kirwan blowup." (2005) Diss., Rice University. <a href="https://hdl.handle.net/1911/19005">https://hdl.handle.net/1911/19005</a>.https://hdl.handle.net/1911/19005We 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.62 p.application/pdfengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.MathematicsThesisTHESIS MATH. 2006 ZHANG