Proceedings/Recueil Des Communications Contemporary Mathematics Année : 2010

Orthogonal bundles over curves in characteristic two

Résumé

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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Dates et versions

hal-00338146 , version 1 (11-11-2008)
hal-00338146 , version 2 (08-12-2008)

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Christian Pauly. Orthogonal bundles over curves in characteristic two. Conference on vector bundles in honor of S. Ramanan, 2010, Madrid, Spain. Contemporary Mathematics, 522, AMS, pp.131 - 140, 2010. ⟨hal-00338146v2⟩
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