Hassett, Brendan2016-01-142016-01-142015-122015-06-29December 2Durgin, 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/1911/87833We 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/pdfengCopyright 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 Theorysix pointsHilbert scheme of pointsHilbert-Chow morphismrelative Hilbert stabilityfinite Hilbert stabilityThesis2016-01-14