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

Yazdanpanah, Vahid

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

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Date

2015

Authors

Yazdanpanah, Vahid

Publisher

University College Cork

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.

Keywords

GIT quotients

Citation

Yazdanpanah, V. 2015. The inverse limit of GIT quotients of Grassmannians by the maximal torus. PhD Thesis, University College Cork.