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PARTIALLY AMPLE LINE BUNDLES ON TORIC VARIETIES
Published online by Cambridge University Press: 21 July 2015
Abstract
In this note we study properties of partially ample line bundles on simplicial projective toric varieties. We prove that the cone of q-ample line bundles is a union of rational polyhedral cones, and calculate these cones in examples. We prove a restriction theorem for big q-ample line bundles, and deduce that q-ampleness of the anticanonical bundle is not invariant under flips. Finally we prove a Kodaira-type vanishing theorem for q-ample line bundles.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2015
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