CHARACTERIZATION OF VARIETIES OF FANO TYPE VIA SINGULARITIES OF COX RINGS
CHARACTERIZATION OF VARIETIES OF FANO TYPE VIA SINGULARITIES OF COX RINGS
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DOI：
10.1090/s1056-3911-2014-00641-x
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发表时间：
2012-01
影响因子：
1.8
通讯作者：
Yoshinori Gongyo;Shinnosuke Okawa;Akiyoshi Sannai;S. Takagi
中科院分区：
文献类型：
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作者：
Yoshinori Gongyo;Shinnosuke Okawa;Akiyoshi Sannai;S. Takagi
证明了全局F-正则型的Mori梦空间都是Fano型的.作为应用，我们用Fano型簇的考克斯环的奇异性给出了Fano型簇的特征。
We show that every Mori dream space of globally F- regular type is of Fano type. As an application, we give a charac- terization of varieties of Fano type in terms of the singularities of their Cox rings.