Vector bundles on log terminal varieties
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Abstract:
Let $X$ be an $n$-dimensional variety and $E$ an ample vector bundle on $X$ of rank $e$. We give a complete classification of pairs $(X,E)$, with $X$ log terminal and $e\geq n$ such that $K_X+det E$ is not ample. The results we obtain were conjectured by Fujita, and recently by Zhang.References
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Additional Information
- Massimiliano Mella
- Affiliation: Dipartimento di Matematica, Universitá di Trento, 38050 Povo (TN), Italia
- Address at time of publication: Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, CB2 1SB Cambridge, United Kingdom
- Email: mella@science.unitn.it
- Received by editor(s): January 3, 1997
- Communicated by: Ron Donagi
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2199-2204
- MSC (1991): Primary 14J40, 14J45; Secondary 14J60, 14F05
- DOI: https://doi.org/10.1090/S0002-9939-98-04596-1
- MathSciNet review: 1469425