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dc.identifier.urihttp://hdl.handle.net/11401/76394
dc.description.sponsorshipThis work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.en_US
dc.formatMonograph
dc.format.mediumElectronic Resourceen_US
dc.language.isoen_US
dc.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dc.typeDissertation
dcterms.abstractWe describe the GIT compactification for the moduli space of smooth quintic surfaces in projective space. This GIT quotient is used along with the stable replacement for studying the geometry of another special compactification which was developed by Kollár, Shepherd-Barron and Alexeev. In particular, we discuss the interplay between GIT stable quintic surfaces with minimal elliptic singularities and boundary divisors in the KSBA space.
dcterms.abstractWe describe the GIT compactification for the moduli space of smooth quintic surfaces in projective space. This GIT quotient is used along with the stable replacement for studying the geometry of another special compactification which was developed by Kollár, Shepherd-Barron and Alexeev. In particular, we discuss the interplay between GIT stable quintic surfaces with minimal elliptic singularities and boundary divisors in the KSBA space.
dcterms.available2017-09-20T16:50:09Z
dcterms.contributorLazarsfeld, Roberten_US
dcterms.contributorLaza, Raduen_US
dcterms.contributorGrushevsky, Samuelen_US
dcterms.contributorJensen, David.en_US
dcterms.creatorGallardo, Patricio
dcterms.dateAccepted2017-09-20T16:50:09Z
dcterms.dateSubmitted2017-09-20T16:50:09Z
dcterms.descriptionDepartment of Mathematics.en_US
dcterms.extent99 pg.en_US
dcterms.formatMonograph
dcterms.formatApplication/PDFen_US
dcterms.identifierhttp://hdl.handle.net/11401/76394
dcterms.issued2014-12-01
dcterms.languageen_US
dcterms.provenanceMade available in DSpace on 2017-09-20T16:50:09Z (GMT). No. of bitstreams: 1 Gallardo_grad.sunysb_0771E_11756.pdf: 820732 bytes, checksum: c8b3d6911374460f508e138efc77d2d7 (MD5) Previous issue date: 1en
dcterms.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dcterms.subjectGeometric Invariant theory, Moduli spaces
dcterms.subjectMathematics
dcterms.titleOn the moduli space of quintic surfaces
dcterms.typeDissertation


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