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Hassett, Brendan Várilly-Alvarado, Anthony Grandy, Richard Durgin, Natalie Jean 2016-01-14T22:12:13Z 2016-01-14T22:12:13Z 2015-12 2015-06-29 December 2015 2016-01-14T22:12:13Z Durgin, 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>. https://hdl.handle.net/1911/87833 We 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. application/pdf eng Copyright 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. Geometric Invariant Theory six points Hilbert scheme of points Hilbert-Chow morphism relative Hilbert stability finite Hilbert stability Geometric Invariant Theory Quotient of the Hilbert Scheme of Six Points on the Projective Plane Thesis Text Mathematics Natural Sciences Rice University Doctoral Doctor of Philosophy open.access