Abstract
The main purpose of this notes is to supplement the paper by Reid: Decomposition of toric morphisms, which treated Minimal Model Program (also called Mori's Program) on toric varieties. We compute lengths of negative extremal rays of toric varieties. As an application, a generalization of Fujita's conjecture for singular toric varieties is obtained. We also prove that every toric variety has a small projective toric $\bQ$-factorialization.
Citation
Osamu Fujino. "Notes on toric varieties from Mori theoretic viewpoint." Tohoku Math. J. (2) 55 (4) 551 - 564, 2003. https://doi.org/10.2748/tmj/1113247130
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