A closer look at semistability for singular principal bundles
Algebraic Geometry
2007-05-23 v2
Abstract
We substantially refine the theory of singular principal bundles introduced in a former paper. In particular, we show that we need only honest singular principal bundles in our compactification. These are objects which carry the structure of a rational principal bundle in the sense of Ramanathan. Moreover, we arrive at a much simpler semistability condition. In the case of a semisimple group, this is just the Gieseker-version of Ramanathan's semistability condition for the corresponding rational principal -bundle.
Keywords
Cite
@article{arxiv.math/0405417,
title = {A closer look at semistability for singular principal bundles},
author = {Alexander H. W. Schmitt},
journal= {arXiv preprint arXiv:math/0405417},
year = {2007}
}
Comments
To appear in the International Mathematics Research Notices. V2: Minor corrections