Bounds for Behrend's conjecture on the canonical reduction
Algebraic Geometry
2008-11-03 v2
Abstract
We prove Behrend's conjecture on the rationality of the canonical reduction of principal bundles and reductive group schemes for classical groups and give new bounds for the conjecture for exceptional groups. However we find a counterexample in the case of G_2-bundles in characteristic 2.
Keywords
Cite
@article{arxiv.0712.0692,
title = {Bounds for Behrend's conjecture on the canonical reduction},
author = {Jochen Heinloth},
journal= {arXiv preprint arXiv:0712.0692},
year = {2008}
}
Comments
Erroneous claim about orthogonal bundles in characteristic 2 removed