International Mathematics Research Notices

International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn045, 17 pages, doi:10.1093/imrn/rnn045 published on May 8, 2008

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© The Author 2008. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org

Bounds for Behrend's Conjecture on the Canonical Reduction

Jochen Heinloth

University of Amsterdam, Korteweg-de Vries Institute for Mathematics, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands

Correspondence: Correspondence to be sent to: heinloth{at}science.uva.nl

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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This Article Abstract Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to My Personal Archive Download to citation manager Request Permissions How to cite this article Google Scholar Articles by Heinloth, J. Social Bookmarking          What's this?