Partially ample line bundles on toric varieties
Date
2015-07-21Author
Broomhead, N
Ottem, JC
Prendergast-Smith, A
Subject
4901 Applied Mathematics 4902 Mathematical Physics 4904 Pure Mathematics 49 Mathematical Sciences
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<jats:title>Abstract</jats:title><jats:p>In this note we study properties of partially ample line bundles on simplicial projective toric varieties. We prove that the cone of<jats:italic>q</jats:italic>-ample line bundles is a union of rational polyhedral cones, and calculate these cones in examples. We prove a restriction theorem for big<jats:italic>q</jats:italic>-ample line bundles, and deduce that<jats:italic>q</jats:italic>-ampleness of the anticanonical bundle is not invariant under flips. Finally we prove a Kodaira-type vanishing theorem for<jats:italic>q</jats:italic>-ample line bundles.</jats:p>
Description
mrclass: 14M25 (14C20)
mrnumber: 3530488
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Publisher
Cambridge University Press (CUP)
Journal
Glasgow Mathematical Journal
Volume
58
Issue
3
Pagination
587-598
Author URL
Publisher URL
Number
3
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