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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
Osamu Fujino,
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.
Contents 1. Introduction
2. Equivariant completions of toric contraction morphisms
3. Applications of equivariant completions
4. Examples of non-$\mathcal Q$-factorial contractions
Key words Toric varieties, Mori theory, minimal model program, equivariant completion
Mathmatical Subject Classification 14M25, 14E30