Partially ample line bundles on toric varieties

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Nathan Broomhead
  • John Christian Ottem
  • Artie Prendergast-Smith

Organisationseinheiten

Externe Organisationen

  • University of Cambridge
  • Loughborough University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)587-598
Seitenumfang12
FachzeitschriftGlasgow Mathematical Journal
Jahrgang58
Ausgabenummer3
Frühes Online-Datum21 Juli 2015
PublikationsstatusVeröffentlicht - Sept. 2016

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.

Zitieren

Partially ample line bundles on toric varieties. / Broomhead, Nathan; Ottem, John Christian; Prendergast-Smith, Artie.
in: Glasgow Mathematical Journal, Jahrgang 58, Nr. 3, 09.2016, S. 587-598.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Broomhead N, Ottem JC, Prendergast-Smith A. Partially ample line bundles on toric varieties. Glasgow Mathematical Journal. 2016 Sep;58(3):587-598. Epub 2015 Jul 21. doi: 10.48550/arXiv.1202.3065, 10.1017/S001708951500035X
Broomhead, Nathan ; Ottem, John Christian ; Prendergast-Smith, Artie. / Partially ample line bundles on toric varieties. in: Glasgow Mathematical Journal. 2016 ; Jahrgang 58, Nr. 3. S. 587-598.
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