Variation of Non-reductive Geometric Invariant Theory
Algebraic Geometry
2018-01-23 v2
Abstract
The wall-and-chamber structure of the dependence of the reductive GIT quotient on the choice of linearisation is well known. In this article, we first give a brief survey of recent results in non-reductive GIT, which apply when the unipotent radical is 'graded'. We then examine the dependence of these non-reductive quotients on the linearisation and an additional parameter, the choice of one-parameter subgroup grading the unipotent radical, and arrive at a picture similar to the reductive one.
Keywords
Cite
@article{arxiv.1712.02576,
title = {Variation of Non-reductive Geometric Invariant Theory},
author = {Gergely Bérczi and Joshua Jackson and Frances Kirwan},
journal= {arXiv preprint arXiv:1712.02576},
year = {2018}
}
Comments
Submitted to Surveys in Differential Geometry: proceedings of the Journal of Differential Geometry 2017 Conference