Geometric compactification of moduli space of cubic surfaces and Kirwan blowup

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dc.contributor.advisorHassett, Brendan E.
dc.creatorZhang, Jun
dc.date.accessioned2009-06-04T08:24:21Z
dc.date.available2009-06-04T08:24:21Z
dc.date.issued2005
dc.description.abstractWe 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.
dc.format.extent62 p.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.callnoTHESIS MATH. 2006 ZHANG
dc.identifier.citationZhang, 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>.
dc.identifier.urihttps://hdl.handle.net/1911/19005
dc.language.isoeng
dc.rightsCopyright 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.
dc.subjectMathematics
dc.titleGeometric compactification of moduli space of cubic surfaces and Kirwan blowup
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematics
thesis.degree.disciplineNatural Sciences
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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