Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-26T06:00:59.198Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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