A closer look at semistability for singular principal bundles

Details A closer look at semistability for singular principal bundles A closer look at semistability for singular principal bundles

2004-05-21

arxiv.org/abs/math/0405417v2

IMRN 2004:62 (2004) 3327-3366

Mathematics

Algebraic Geometry

To appear in the International Mathematics Research Notices. V2: Minor corrections

Scientific paper

10.1155/S1073792804132984

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 $G$-bundle.

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