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- W2950147781 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 cite{Ramanan-Ramanathan} 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." @default.
- W2950147781 created "2019-06-27" @default.
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- W2950147781 date "2003-12-14" @default.
- W2950147781 modified "2023-09-27" @default.
- W2950147781 title "Extension of structure groups of principal bundles in positive characteristic" @default.
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