The inverse limit of GIT quotients of Grassmannians by the maximal torus
dc.check.embargoformat | Not applicable | en |
dc.check.info | No embargo required | en |
dc.check.opt-out | Not applicable | en |
dc.check.reason | No embargo required | en |
dc.check.type | No Embargo Required | |
dc.contributor.advisor | Mustata, Andrei | en |
dc.contributor.advisor | Mustata, Anca | en |
dc.contributor.author | Yazdanpanah, Vahid | |
dc.contributor.funder | Science Foundation Ireland | en |
dc.date.accessioned | 2016-01-07T12:59:46Z | |
dc.date.available | 2016-01-07T12:59:46Z | |
dc.date.issued | 2015 | |
dc.date.submitted | 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. | en |
dc.description.sponsorship | Science Foundation Ireland (Grant 08/RFP/MATH1759 Research Frontiers Programme) | en |
dc.description.status | Not peer reviewed | en |
dc.description.version | Accepted Version | |
dc.format.mimetype | application/pdf | en |
dc.identifier.citation | Yazdanpanah, V. 2015. The inverse limit of GIT quotients of Grassmannians by the maximal torus. PhD Thesis, University College Cork. | en |
dc.identifier.endpage | 109 | |
dc.identifier.uri | https://hdl.handle.net/10468/2163 | |
dc.language.iso | en | en |
dc.publisher | University College Cork | en |
dc.rights | © 2015, Vahid Yazdanpanah. | en |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | en |
dc.subject | GIT quotients | en |
dc.thesis.opt-out | false | |
dc.title | The inverse limit of GIT quotients of Grassmannians by the maximal torus | en |
dc.type | Doctoral thesis | en |
dc.type.qualificationlevel | Doctoral | en |
dc.type.qualificationname | PhD (Science) | en |
ucc.workflow.supervisor | andrei.mustata@ucc.ie |