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

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dc.contributor.advisorHassett, Brendan
dc.contributor.committeeMemberVárilly-Alvarado, Anthony
dc.contributor.committeeMemberGrandy, Richard
dc.creatorDurgin, Natalie Jean
dc.date.accessioned2016-01-14T22:12:13Z
dc.date.available2016-01-14T22:12:13Z
dc.date.created2015-12
dc.date.issued2015-06-29
dc.date.submittedDecember 2015
dc.date.updated2016-01-14T22:12:13Z
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.
dc.format.mimetypeapplication/pdf
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>.
dc.identifier.urihttps://hdl.handle.net/1911/87833
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.subjectGeometric Invariant Theory
dc.subjectsix points
dc.subjectHilbert scheme of points
dc.subjectHilbert-Chow morphism
dc.subjectrelative Hilbert stability
dc.subjectfinite Hilbert stability
dc.titleGeometric Invariant Theory Quotient of the Hilbert Scheme of Six Points on the Projective Plane
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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