{"id":{"repo_id":"rice","oai_identifier":"oai:repository.rice.edu:1911/87833"},"canonical_url":"https://search.dev.ndltd.org/etd/rice/oai:repository.rice.edu:1911/87833","repository":{"repo_id":"rice","name":"Rice University","base_url":"https://repository.rice.edu/server/oai/request"},"display":{"title":"Geometric Invariant Theory Quotient of the Hilbert Scheme of Six Points on the Projective Plane","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Durgin, Natalie Jean"],"institution":"Rice University","degree_name":"Doctor of Philosophy","degree_level":"Doctoral","degree_discipline":"Natural Sciences","degree_department":null,"school":null,"contributors":[],"advisors":["Hassett, Brendan"],"committee_chairs":[],"committee_members":["Várilly-Alvarado, Anthony","Grandy, Richard"],"year":2015,"date_issued":"2015-06-29","date_published":"2015-06-29","updated_at":"2026-07-24T04:10:22Z","subjects":["Geometric Invariant Theory","six points","Hilbert scheme of points","Hilbert-Chow morphism","relative Hilbert stability","finite Hilbert stability"],"languages":["eng"],"rights":["Copyright is held by the author, unless otherwise indicated. 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