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Harder–Narasimhan reduction of a principal bundle

Published online by Cambridge University Press:  22 January 2016

Indranil Biswas  and
Yogish I. Holla
Indranil Biswas
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India, indranil@math.tifr.res.in
Yogish I. Holla
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India, yogi@math.tifr.res.in
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Abstract

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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.

Keywords

14H6032L05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 174 , 2004 , pp. 201 - 223
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2004

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