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Vector bundles on log terminal varieties
Authors:Massimiliano Mella
Affiliation:Dipartimento di Matematica, Universitá di Trento, 38050 Povo (TN), Italia
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 $egeq n$ such that $K_X+det E$ is not ample. The results we obtain were conjectured by Fujita, and recently by Zhang.

Keywords:Vector bundle   extremal contraction   log terminal
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