English

Smooth complete toric threefolds with no nontrivial nef line bundles

Algebraic Geometry 2007-06-23 v2

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.

Keywords

Cite

@article{arxiv.math/0510679,
  title  = {Smooth complete toric threefolds with no nontrivial nef line bundles},
  author = {Osamu Fujino and Sam Payne},
  journal= {arXiv preprint arXiv:math/0510679},
  year   = {2007}
}

Comments

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