{"id":{"repo_id":"cork","oai_identifier":"oai:cora.ucc.ie:10468/2163"},"canonical_url":"https://search.dev.ndltd.org/etd/cork/oai:cora.ucc.ie:10468/2163","repository":{"repo_id":"cork","name":"University College Cork","base_url":"https://cora.ucc.ie/server/oai/request"},"display":{"title":"The inverse limit of GIT quotients of Grassmannians by the maximal torus","abstract":"There are finitely many GIT quotients of 𝐺(3 𝑛) by maximal torus and between each two there is a birational map. These GIT quotients and the flips between them form an inverse system. This thesis describes this inverse system first and then, describes the inverse limit of this inverse system as a moduli space. An open set in this scheme represents the functor of arrangements of lines in planes. We show how to enrich this functor such that it is represented by the above inverse limit.","abstract_html":"There are finitely many GIT quotients of 𝐺(3 𝑛) by maximal torus and between each two there is a birational map. These GIT quotients and the flips between them form an inverse system. This thesis describes this inverse system first and then, describes the inverse limit of this inverse system as a moduli space. An open set in this scheme represents the functor of arrangements of lines in planes. We show how to enrich this functor such that it is represented by the above inverse limit.","abstract_has_math":false,"creators":["Yazdanpanah, Vahid"],"institution":"University College Cork","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Mustata, Andrei","Mustata, Anca"],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015","date_published":"2015","updated_at":"2026-07-24T01:47:19Z","subjects":["GIT quotients"],"languages":["en"],"rights":["© 2015, Vahid Yazdanpanah."],"rights_urls":["http://creativecommons.org/licenses/by-nc-nd/3.0/"],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/10468/2163","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Mustata, Andrei","Mustata, Anca"]},{"key":"dc:creator","label":"Author","values":["Yazdanpanah, Vahid"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2016-01-07T12:59:46Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2016-01-07T12:59:46Z"]},{"key":"dc:date.issued","label":"Date","values":["2015"]},{"key":"dc:publisher","label":"Institution","values":["University College Cork"]},{"key":"dc:type","label":"Dc Type","values":["Doctoral thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["PhD (Science)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["GIT quotients"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["© 2015, Vahid Yazdanpanah."]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://creativecommons.org/licenses/by-nc-nd/3.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/10468/2163"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["There are finitely many GIT quotients of 𝐺(3 𝑛) by maximal torus and between each two there is a birational map. These GIT quotients and the flips between them form an inverse system. This thesis describes this inverse system first and then, describes the inverse limit of this inverse system as a moduli space. An open set in this scheme represents the functor of arrangements of lines in planes. We show how to enrich this functor such that it is represented by the above inverse limit."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["The inverse limit of GIT quotients of Grassmannians by the maximal torus"]}]}],"canonical_facts":{"dc:contributor.advisor":["Mustata, Andrei","Mustata, Anca"],"dc:creator":["Yazdanpanah, Vahid"],"dc:date.accessioned":["2016-01-07T12:59:46Z"],"dc:date.available":["2016-01-07T12:59:46Z"],"dc:date.issued":["2015"],"dc:description.abstract":["There are finitely many GIT quotients of 𝐺(3 𝑛) by maximal torus and between each two there is a birational map. These GIT quotients and the flips between them form an inverse system. This thesis describes this inverse system first and then, describes the inverse limit of this inverse system as a moduli space. An open set in this scheme represents the functor of arrangements of lines in planes. We show how to enrich this functor such that it is represented by the above inverse limit."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["https://hdl.handle.net/10468/2163"],"dc:language.iso":["en"],"dc:publisher":["University College Cork"],"dc:rights":["© 2015, Vahid Yazdanpanah."],"dc:rights.uri":["http://creativecommons.org/licenses/by-nc-nd/3.0/"],"dc:subject":["GIT quotients"],"dc:title":["The inverse limit of GIT quotients of Grassmannians by the maximal torus"],"dc:type":["Doctoral thesis"],"dc:type.qualificationlevel":["Doctoral"],"dc:type.qualificationname":["PhD (Science)"]},"updated_at":"2026-07-24T01:47:19Z"}