Orthogonal bundles over curves in characteristic two

Details Orthogonal bundles over curves in characteristic two Orthogonal bundles over curves in characteristic two

2008-11-11

arxiv.org/abs/0811.1756v2

Mathematics

Algebraic Geometry

9 pages, minor errors corrected

Scientific paper

Let X be a smooth projective curve of genus g \geq 2 defined over a field of
characteristic two. We give examples of stable orthogonal bundles with unstable
underlying vector bundles and use them to give counterexamples to Behrend's
conjecture on the canonical reduction of principal G-bundles for G= SO(n) with
n \geq 7.

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