Harder–Narasimhan reduction of a principal bundle

Let E be a principal G–bundle over a smooth projective curve over an algebraically closed field k, where G is a reductive linear algebraic group over k. We construct a canonical reduction of E. The uniqueness of canonical reduction is proved under the assumption that the characteristic of k is zero....

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Bibliographic Details
Published in:Nagoya mathematical journal 2004, Vol.174, p.201-223
Main Authors: Biswas, Indranil, Holla, Yogish I.
Format: Article
Language:English
Subjects:
14H60
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Summary:Let E be a principal G–bundle over a smooth projective curve over an algebraically closed field k, where G is a reductive linear algebraic group over k. We construct a canonical reduction of E. The uniqueness of canonical reduction is proved under the assumption that the characteristic of k is zero. Under a mild assumption on the characteristic, the uniqueness is also proved when the characteristic of k is positive.
ISSN:0027-7630
2152-6842
DOI:10.1017/S0027763000008850