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2004 Harder-Narasimhan reduction of a principal bundle
Indranil Biswas, Yogish I. Holla
Nagoya Math. J. 174: 201-223 (2004).

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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Indranil Biswas. Yogish I. Holla. "Harder-Narasimhan reduction of a principal bundle." Nagoya Math. J. 174 201 - 223, 2004.

Information

Published: 2004
First available in Project Euclid: 27 April 2005

zbMATH: 1056.14046
MathSciNet: MR2066109

Subjects:
Primary: 14H60

Rights: Copyright © 2004 Editorial Board, Nagoya Mathematical Journal

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