## Tohoku Mathematical Journal

### Notes on toric varieties from Mori theoretic viewpoint

Osamu Fujino

#### 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.

#### Article information

Source
Tohoku Math. J. (2), Volume 55, Number 4 (2003), 551-564.

Dates
First available in Project Euclid: 11 April 2005

Permanent link to this document
https://projecteuclid.org/euclid.tmj/1113247130

Digital Object Identifier
doi:10.2748/tmj/1113247130

Mathematical Reviews number (MathSciNet)
MR2017225

Zentralblatt MATH identifier
1078.14077

#### Citation

Fujino, Osamu. Notes on toric varieties from Mori theoretic viewpoint. Tohoku Math. J. (2) 55 (2003), no. 4, 551--564. doi:10.2748/tmj/1113247130. https://projecteuclid.org/euclid.tmj/1113247130

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