Partially ample line bundles on toric varieties

Mathematics – Algebraic Geometry

Scientific paper

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10 pages, 2 figures

Scientific paper

In this note we prove that the q-ample cone of a simplicial projective toric
variety in characteristic zero is always the interior of a finite union of
polyhedral cones. We use this result to prove a characterisation of the q-ample
cone of a simplicial projective toric variety in terms of the vanishing of
K\"uronya's asymptotic cohomological functions.

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