Partially ample line bundles on toric varieties
| dc.contributor.author | Broomhead, Nathan | |
| dc.contributor.author | Ottem, JC | |
| dc.contributor.author | Prendergast-Smith, A | |
| dc.date.accessioned | 2016-10-28T14:55:10Z | |
| dc.date.available | 2016-10-28T14:55:10Z | |
| dc.date.issued | 2015-07-21 | |
| dc.identifier.issn | 0017-0895 | |
| dc.identifier.issn | 1469-509X | |
| dc.identifier.other | 3 | |
| dc.identifier.uri | http://hdl.handle.net/10026.1/6666 | |
| dc.description | mrclass: 14M25 (14C20) mrnumber: 3530488 | |
| dc.description.abstract |
<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> | |
| dc.format.extent | 587-598 | |
| dc.language | en | |
| dc.language.iso | en | |
| dc.publisher | Cambridge University Press (CUP) | |
| dc.subject | math.AG | |
| dc.subject | math.AG | |
| dc.subject | 14M25, 14F05 | |
| dc.title | Partially ample line bundles on toric varieties | |
| dc.type | journal-article | |
| dc.type | article | |
| plymouth.author-url | https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000382853200005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=11bb513d99f797142bcfeffcc58ea008 | |
| plymouth.issue | 3 | |
| plymouth.volume | 58 | |
| plymouth.publisher-url | http://dx.doi.org/10.1017/S001708951500035X | |
| plymouth.publication-status | Published | |
| plymouth.journal | Glasgow Mathematical Journal | |
| dc.identifier.doi | 10.1017/S001708951500035X | |
| plymouth.organisational-group | /Plymouth | |
| plymouth.organisational-group | /Plymouth/Admin Group - REF | |
| plymouth.organisational-group | /Plymouth/Admin Group - REF/REF Admin Group - FoSE | |
| plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering | |
| plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics | |
| plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA | |
| plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/EXTENDED UoA 10 - Mathematical Sciences | |
| plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/UoA10 Mathematical Sciences | |
| plymouth.organisational-group | /Plymouth/Users by role | |
| plymouth.organisational-group | /Plymouth/Users by role/Academics | |
| dcterms.dateAccepted | 2015-03-17 | |
| dc.identifier.eissn | 1469-509X | |
| dc.rights.embargoperiod | Not known | |
| rioxxterms.versionofrecord | 10.1017/S001708951500035X | |
| rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
| rioxxterms.licenseref.startdate | 2015-07-21 | |
| rioxxterms.type | Journal Article/Review | |
| plymouth.oa-location | https://arxiv.org/pdf/1202.3065v2.pdf |