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arXiv:math/0006086 [math.AG]AbstractReferencesReviewsResources

On the converse to a theorem of Atiyah and Bott

Robert Friedman, John W. Morgan

Published 2000-06-12Version 1

Let G be a complex reductive group and let C be a smooth curve of genus at least one. We prove a converse to a theorem of Atiyah-Bott concerning the stratification of the space of holomorphic G-bundles on C. In case the genus of C is one, we establish that one has a stratification in the strong sense. The paper concludes with a characterization of the minimally unstable strata in case G is simple.

Comments: Latex file, 34 pages, 5 figures
Categories: math.AG
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