Equivariant completions of toric contraction morphisms

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概要

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• 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-$\boldsymbol Q$-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-$\boldsymbol Q$-factorial contractions, which imply that the $\boldsymbol Q$-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.

• 東北大学の論文

著者

• Fujino Osamu

  Graduate School Of Mathematics Nagoya University

関連論文

• Vanishing theorems for toric polyhedra (Higher Dimensional Algebraic Varieties and Vector Bundles)
• Addendum to "Termination of 4-fold Canonical Flips"
• Equivariant completions of toric contraction morphisms
• On Termination of 4-fold Semi-stable Log Flips
• Termination of 4-fold Canonical Flips

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