Notes on toric varieties from Mori theoretic viewpoint

Details Notes on toric varieties from Mori theoretic viewpoint Notes on toric varieties from Mori theoretic viewpoint

2001-12-10

arxiv.org/abs/math/0112090v1

Mathematics

Algebraic Geometry

11 pages, a new version of RIMS-1340

Scientific paper

The main purpose of this notes is to supplement the paper reid, which treated Minimal Model Program (also called Mori's Program) on toric varieties. We calculate lengths of negative extremal rays of toric varieties. As an application, we obtain a generalization of Fujita's conjecture for singular toric varieties. We also prove that every toric variety has a small projective toric $\bQ$-factorialization.

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