Smooth complete toric threefolds with no nontrivial nef line bundles

Abstract

We describe all of the smooth complete toric threefolds of Picard number 5 with no nontrivial nef line bundles, and show that no such examples exist with Picard number less than 5.

8 pages. This is an improved version of the second author's preprint math.AG/0501204 v2: minor revisions. To appear in Proc. Japan Acad. Ser. A