Harder-Narasimhan reduction of a principal bundle

Biswas, Indranil ; Holla, Yogish I. (2004) Harder-Narasimhan reduction of a principal bundle Nagoya Mathematical Journal, 174 (3). pp. 201-223. ISSN 0027-7630

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Abstract

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.

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Source:Copyright of this article belongs to Nagoya University.
ID Code:3421
Deposited On:11 Oct 2010 09:16
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