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Remarks on Semistability of G-Bundles in Positive Characteristic

Published online by Cambridge University Press:  04 December 2007

XIAOTAO SUN
XIAOTAO SUN
Affiliation:
Institute of Mathematics, Academia Sinica, Beijing 100080, China; e-mail: xsun@math08.math.ac.cn
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Abstract

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We analyzes a notion of strong semistability of principal G-bundles by including reduction to nonreduced parabolic subgroup schemes. It turns out that strong semistability is equivalent to the Frobenius semistability of Ramanan and Rananathan. We also give a bound for nonstrongly semsitability of a semistable GL(n)-bundle improving a previous result of Shepherd-Barron.

Keywords

G-bundlestrong semistabilityFrobeniuscanonical reduction.
Type
Research Article
Information
Compositio Mathematica , Volume 119 , Issue 1 , October 1999 , pp. 41 - 52
Copyright
© 1999 Kluwer Academic Publishers