An Analytic Application of Geometric Invariant Theory II: Coarse Moduli Spaces
Algebraic Geometry
2022-03-02 v2 Complex Variables
Abstract
In [arXiv:2008.04625] the authors constructed a classifying space for polystable holomorphic vector bundles on a compact K\"ahler manifold using analytic GIT theory. The aim of this article is to show that this classifying space taken in the weakly normal category is a coarse moduli space in the sense of complex geometry when the topology is fixed as induced by the space of Hermite-Einstein connections modulo the group of unitary gauge transformations.
Keywords
Cite
@article{arxiv.2108.03255,
title = {An Analytic Application of Geometric Invariant Theory II: Coarse Moduli Spaces},
author = {Nicholas Buchdahl and Georg Schumacher},
journal= {arXiv preprint arXiv:2108.03255},
year = {2022}
}
Comments
To appear in Journal of Geometry and Physics