Bounds for Behrend's conjecture on the canonical reduction
| Authors |
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| Publication date |
2008
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| Journal |
International Mathematics Research Notices
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| Volume | Issue number |
2008
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| Pages (from-to) |
rnn045
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| Number of pages |
17
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| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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| 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 G2-bundles in characteristic 2.
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| Document type |
Article
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| Published at |
https://doi.org/10.1093/imrn/rnn045
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