Smooth complete toric threefolds with no nontrivial nef line bundles

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Abstract

We describe all of 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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Fujino, O., & Payne, S. (2005). Smooth complete toric threefolds with no nontrivial nef line bundles. Proceedings of the Japan Academy Series A: Mathematical Sciences, 81(10), 174–179. https://doi.org/10.3792/pjaa.81.174

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