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arXiv:0712.0692 [math.AG]AbstractReferencesReviewsResources

Bounds for Behrend's conjecture on the canonical reduction

Jochen Heinloth

Published 2007-12-05, updated 2008-11-03Version 2

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.

Comments: Erroneous claim about orthogonal bundles in characteristic 2 removed
Categories: math.AG
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