Partially ample line bundles on toric varieties

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dc.identifier.uri http://dx.doi.org/10.15488/2342
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/2368
dc.contributor.author Broomhead, N.
dc.contributor.author Ottem, J.C.
dc.contributor.author Prendergast-Smith, A.
dc.date.accessioned 2017-11-17T10:07:37Z
dc.date.available 2017-11-17T10:07:37Z
dc.date.issued 2016
dc.identifier.citation Broomhead, N.; Ottem, J.C.; Prendergast-Smith, A.: Partially ample line bundles on toric varieties. In: Glasgow Mathematical Journal 58 (2016), Nr. 3, S. 587-598. DOI: https://doi.org/10.1017/S001708951500035X
dc.description.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. © Glasgow Mathematical Journal Trust 2015. eng
dc.language.iso eng
dc.publisher Cambridge : Cambridge University Press
dc.relation.ispartofseries Glasgow Mathematical Journal 58 (2016), Nr. 3
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject Kodaira-type vanishing theorem eng
dc.subject toric varieties eng
dc.subject q-ample line bundles eng
dc.subject.ddc 510 | Mathematik ger
dc.title Partially ample line bundles on toric varieties
dc.type article
dc.type Text
dc.relation.issn 0017-0895
dc.relation.doi https://doi.org/10.1017/S001708951500035X
dc.bibliographicCitation.issue 3
dc.bibliographicCitation.volume 58
dc.bibliographicCitation.firstPage 587
dc.bibliographicCitation.lastPage 598
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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