The inverse limit of GIT quotients of Grassmannians by the maximal torus
type: CreativeWork
description: 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: 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.
author: Yazdanpanah, Vahid
language: en
keywords: GIT quotients
license: http://creativecommons.org/licenses/by-nc-nd/3.0/
date published: 2015
date modified: 2026-07-24T01:47:19Z
provider: University College Cork
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: University College Cork

PropertyValue
property ID: Handle
value: https://hdl.handle.net/10468/2163