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Extension of structure groups of principal bundles in positive characteristic
-
Fabrizio Coiai
and
Yogish I Holla
Published/Copyright:
June 23, 2006
Abstract
In this article we study the behaviour of semistable principal G-bundles over a smooth projective variety X under the extension of structure groups in positive characteristic. We extend some results of Ramanan-Ramanathan [S. Ramanan and A. Ramanathan, Some remarks on the instability flag, Tohoku Math. J. 36 (1984), 269–291.] on rationality of instability flags and show that the associated vector bundles via representations of G are not too unstable and the instability can be bounded by a constant independent of semistable bundles. As a consequence of this the boundedness of the set of isomorphism classes of semistable G-bundles with fixed degree and Chern classes is proven.
Received: 2004-02-18
Accepted: 2004-06-16
Published Online: 2006-06-23
Published in Print: 2006-06-01
© Walter de Gruyter
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Articles in the same Issue
- Extension of structure groups of principal bundles in positive characteristic
- Phase transitions on Hecke C*-algebras and class-field theory over ℚ
- Existence results for a class of rate-independent material models with nonconvex elastic energies
- Endotrivial modules for finite groups of Lie type
- Solution to the inverse problem for upper asymptotic density
- Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space
- Cancellation in totally definite quaternion algebras
- Mesures et équidistribution sur les espaces de Berkovich
