Geometric Invariant Theory and Einstein-Weyl Geometry
Algebraic Geometry
2011-08-17 v3 Differential Geometry
Abstract
In this article, we give a survey of Geometric Invariant Theory for Toric Varieties, and present an application to the Einstein-Weyl Geometry. We compute the image of the Minitwistor space of the Honda metrics as a categorical quotient according to the most efficient linearization. The result is the complex weighted projective space CP_(1,1,2). We also find and classify all possible quotients.
Cite
@article{arxiv.math/0611771,
title = {Geometric Invariant Theory and Einstein-Weyl Geometry},
author = {Mustafa Kalafat},
journal= {arXiv preprint arXiv:math/0611771},
year = {2011}
}
Comments
A section on efficiency and classification is added