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

Yazdanpanah, Vahid

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dc.contributor.advisor	Mustata, Andrei	en
dc.contributor.advisor	Mustata, Anca	en
dc.contributor.author	Yazdanpanah, Vahid
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.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	http://hdl.handle.net/10468/2163
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.format.mimetype	application/pdf	en
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.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
dc.internal.availability	Full text available	en
dc.check.info	No embargo required	en
dc.description.version	Accepted Version
dc.contributor.funder	Science Foundation Ireland	en
dc.description.status	Not peer reviewed	en
dc.internal.school	Mathematics	en
dc.check.type	No Embargo Required
dc.check.reason	No embargo required	en
dc.check.opt-out	Not applicable	en
dc.thesis.opt-out	false
dc.check.embargoformat	Not applicable	en
ucc.workflow.supervisor	andrei.mustata@ucc.ie
dc.internal.conferring	Spring Conferring 2016	en