Bounds for Behrend's conjecture on the canonical reduction

Details Bounds for Behrend's conjecture on the canonical reduction Bounds for Behrend's conjecture on the canonical reduction

2007-12-05

arxiv.org/abs/0712.0692v2

Mathematics

Algebraic Geometry

Erroneous claim about orthogonal bundles in characteristic 2 removed

Scientific paper

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.

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