Geodesic
PARTIALLY AMPLE LINE BUNDLES ON TORIC VARIETIES
Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 587-598

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
BROOMHEAD, NATHAN; OTTEM, JOHN CHRISTIAN; PRENDERGAST-SMITH, ARTIE. PARTIALLY AMPLE LINE BUNDLES ON TORIC VARIETIES. Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 587-598. doi: 10.1017/S001708951500035X
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