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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Vector bundles on log terminal varieties


Author: Massimiliano Mella
Journal: Proc. Amer. Math. Soc. 126 (1998), 2199-2204
MSC (1991): Primary 14J40, 14J45; Secondary 14J60, 14F05
MathSciNet review: 1469425
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04596-1
PII: S 0002-9939(98)04596-1
Keywords: Vector bundle, extremal contraction, log terminal
Received by editor(s): January 3, 1997
Communicated by: Ron Donagi
Article copyright: © Copyright 1998 American Mathematical Society