Stable Bundles and Holonomy Group Schemes of Varieties
نویسنده
چکیده
We introduce a new category of lf-graded vector bundles on a smooth projective variety X over an algebraically closed field k. This category includes in particular all stable bundles. We then show that the category of strongly lf-graded bundles is a neutral Tannaka category. We study the associated GrothendieckTannaka group scheme. This enables us to prove an analogue of the classical Narasimhan-Seshadri theorem for strongly lf-graded vector bundles on X which are stable. As an application of this concept, we show the existence of strongly stable principal bundles on smooth projective surfaces.
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