Smooth complete toric threefolds with no nontrivial nef line bundles

Details Smooth complete toric threefolds with no nontrivial nef line bundles Smooth complete toric threefolds with no nontrivial nef line bundles

2005-10-31

arxiv.org/abs/math/0510679v2

Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 10, 174--179 (2006).

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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