Partially ample line bundles on toric varieties
Algebraic Geometry
2014-09-29 v2
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.
Cite
@article{arxiv.1202.3065,
title = {Partially ample line bundles on toric varieties},
author = {Nathan Broomhead and John Christian Ottem and Artie Prendergast-Smith},
journal= {arXiv preprint arXiv:1202.3065},
year = {2014}
}
Comments
12 pages, 2 figures; v.2: proofs simplified, lots of material added, new author