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Information Center for Mathematical Science

### 논문검색

Information Center for Mathematical Science

#### 논문검색

Tohoku Mathematical Journal. Second Series
( Vol. 58 NO.3 / (2006))
Equivariant completions of toric contraction morphisms

Pages. 303-321
Abstract We treat equivariant completions of toric contraction morphisms as an application of the toric Mori theory. For this purpose, we generalize the toric Mori theory for non-$mathcal Q$-factorial toric varieties. So, our theory seems to be quite different from Reid's original combinatorial toric Mori theory. We also explain various examples of non-$mathcal Q$-factorial contractions, which imply that the $mathcal Q$-factoriality plays an important role in the Minimal Model Program. Thus, this paper completes the foundation of the toric Mori theory and shows us a new aspect of the Minimal Model Program. 1. Introduction 2. Equivariant completions of toric contraction morphisms 3. Applications of equivariant completions 4. Examples of non-$\mathcal Q$-factorial contractions Toric varieties, Mori theory, minimal model program, equivariant completion 14M25, 14E30