{"id":{"repo_id":"gmu","oai_identifier":"oai:MARS:1920/8786"},"canonical_url":"https://search.dev.ndltd.org/etd/gmu/oai:MARS:1920/8786","repository":{"repo_id":"gmu","name":"George Mason University","base_url":"https://mars.gmu.edu/server/oai/request"},"display":{"title":"The Geometry of the Quotient Stack Arising From a Stacky Fan","abstract":"A quotient stack, [Z/G], is a geometric object that models the quotient of a space, Z, by the action of a Lie group, G, while carrying additional structure at the singularities. Quotient stacks generalize toric varieties, and thus constitute a broad and important class of","abstract_html":"A quotient stack, [Z/G], is a geometric object that models the quotient of a space, Z, by the action of a Lie group, G, while carrying additional structure at the singularities. Quotient stacks generalize toric varieties, and thus constitute a broad and important class of","abstract_has_math":false,"creators":["Johannsen, David Andrew"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-08","date_published":"2013-08","updated_at":"2026-07-27T19:51:56Z","subjects":["Mathematics","Orbifold","Quotient stack","Symplectic geometry","Toric variety"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:1920/8786"],"render_values":[{"text":"hdl:1920/8786","href":null,"code":true}]}]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2013-08"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics","Orbifold","Quotient stack","Symplectic geometry","Toric variety"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:1920/8786"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.other","label":"Dc Description Other","values":["A quotient stack, [Z/G], is a geometric object that models the quotient of a space, Z, by the action of a Lie group, G, while carrying additional structure at the singularities. Quotient stacks generalize toric varieties, and thus constitute a broad and important class of"]},{"key":"dc:title","label":"Title","values":["The Geometry of the Quotient Stack Arising From a Stacky Fan"]}]}],"canonical_facts":{"dc:date.issued":["2013-08"],"dc:description.other":["A quotient stack, [Z/G], is a geometric object that models the quotient of a space, Z, by the action of a Lie group, G, while carrying additional structure at the singularities. Quotient stacks generalize toric varieties, and thus constitute a broad and important class of"],"dc:identifier":["hdl:1920/8786"],"dc:subject":["Mathematics","Orbifold","Quotient stack","Symplectic geometry","Toric variety"],"dc:title":["The Geometry of the Quotient Stack Arising From a Stacky Fan"],"dc:type":["Dissertation"]},"updated_at":"2026-07-27T19:51:56Z"}