The inverse limit of GIT quotients of Grassmannians by the maximal torus

dc.check.embargoformatNot applicableen
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dc.contributor.advisorMustata, Andreien
dc.contributor.advisorMustata, Ancaen
dc.contributor.authorYazdanpanah, Vahid
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2016-01-07T12:59:46Z
dc.date.available2016-01-07T12:59:46Z
dc.date.issued2015
dc.date.submitted2015
dc.description.abstractThere 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.en
dc.description.sponsorshipScience Foundation Ireland (Grant 08/RFP/MATH1759 Research Frontiers Programme)en
dc.description.statusNot peer revieweden
dc.description.versionAccepted Version
dc.format.mimetypeapplication/pdfen
dc.identifier.citationYazdanpanah, V. 2015. The inverse limit of GIT quotients of Grassmannians by the maximal torus. PhD Thesis, University College Cork.en
dc.identifier.endpage109
dc.identifier.urihttps://hdl.handle.net/10468/2163
dc.language.isoenen
dc.publisherUniversity College Corken
dc.rights© 2015, Vahid Yazdanpanah.en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectGIT quotientsen
dc.thesis.opt-outfalse
dc.titleThe inverse limit of GIT quotients of Grassmannians by the maximal torusen
dc.typeDoctoral thesisen
dc.type.qualificationlevelDoctoralen
dc.type.qualificationnamePhD (Science)en
ucc.workflow.supervisorandrei.mustata@ucc.ie
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