Equivariant completions of toric contraction morphisms

Equivariant completions of toric contraction morphisms
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环面收缩态射的等变完成

DOI:
10.2748/tmj/1163775132
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发表时间:
2003
影响因子:
0.5
通讯作者:
O. Fujino
O. Fujino
中科院分区:
数学4区
文献类型:
--
作者:
O. Fujino

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我们把环面压缩态射的等变补全看作是环面Mori理论的一个应用。为此,我们将Toric Mori理论推广到非q-阶乘Toric簇。因此,我们的理论似乎与Reid最初的组合Toric Mori理论有很大不同。我们还解释了各种非q阶乘压缩的例子,这意味着q阶乘在最小模型程序中起着重要的作用。因此,本文完成了环面Mori理论的建立,并向我们展示了最小模型程序的一个新方面。
We treat equivariant completions of toric contraction morphisms as an ap- plication of the toric Mori theory. For this purpose, we generalize the toric Mori theory for non-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-Q-factorial con- tractions, which imply that the 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.
DOI: 10.1307/mmj/1100623418
发表时间: 2003-07
影响因子: 0.9
作者:
O. Fujino;H. Sato
通讯作者: O. Fujino;H. Sato
DOI: --
发表时间: 2005
期刊: Nagoya Math. J. Vol.180
影响因子: --
作者:
H.Sato
通讯作者: H.Sato