Geometric Invariant Theory Quotient of the Hilbert Scheme of Six Points on the Projective Plane

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dc.contributor.advisorHassett, Brendanen_US
dc.contributor.committeeMemberVárilly-Alvarado, Anthonyen_US
dc.contributor.committeeMemberGrandy, Richarden_US
dc.creatorDurgin, Natalie Jeanen_US
dc.date.accessioned2016-01-14T22:12:13Zen_US
dc.date.available2016-01-14T22:12:13Zen_US
dc.date.created2015-12en_US
dc.date.issued2015-06-29en_US
dc.date.submittedDecember 2015en_US
dc.date.updated2016-01-14T22:12:13Zen_US
dc.description.abstractWe provide an asymptotic stability portrait for the Hilbert scheme of six points on the complex projective plane, and provide a description of its geometric invariant theory (GIT) quotient.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationDurgin, Natalie Jean. "Geometric Invariant Theory Quotient of the Hilbert Scheme of Six Points on the Projective Plane." (2015) Diss., Rice University. <a href="https://hdl.handle.net/1911/87833">https://hdl.handle.net/1911/87833</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/87833en_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.subjectGeometric Invariant Theoryen_US
dc.subjectsix pointsen_US
dc.subjectHilbert scheme of pointsen_US
dc.subjectHilbert-Chow morphismen_US
dc.subjectrelative Hilbert stabilityen_US
dc.subjectfinite Hilbert stabilityen_US
dc.titleGeometric Invariant Theory Quotient of the Hilbert Scheme of Six Points on the Projective Planeen_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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