Geometric compactification of moduli space of cubic surfaces and Kirwan blowup

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dc.contributor.advisorHassett, Brendan E.en_US
dc.creatorZhang, Junen_US
dc.date.accessioned2009-06-04T08:24:21Zen_US
dc.date.available2009-06-04T08:24:21Zen_US
dc.date.issued2005en_US
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.en_US
dc.format.extent62 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH. 2006 ZHANGen_US
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>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/19005en_US
dc.language.isoengen_US
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.en_US
dc.subjectMathematicsen_US
dc.titleGeometric compactification of moduli space of cubic surfaces and Kirwan blowupen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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