Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 587-598 |
Seitenumfang | 12 |
Fachzeitschrift | Glasgow Mathematical Journal |
Jahrgang | 58 |
Ausgabenummer | 3 |
Frühes Online-Datum | 21 Juli 2015 |
Publikationsstatus | Veröffentlicht - Sept. 2016 |
Abstract
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in: Glasgow Mathematical Journal, Jahrgang 58, Nr. 3, 09.2016, S. 587-598.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Partially ample line bundles on toric varieties
AU - Broomhead, Nathan
AU - Ottem, John Christian
AU - Prendergast-Smith, Artie
PY - 2016/9
Y1 - 2016/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84937598599&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1202.3065
DO - 10.48550/arXiv.1202.3065
M3 - Article
AN - SCOPUS:84937598599
VL - 58
SP - 587
EP - 598
JO - Glasgow Mathematical Journal
JF - Glasgow Mathematical Journal
SN - 0017-0895
IS - 3
ER -