Fano threefolds in positive characteristic
Fano threefolds in positive characteristic
复制标题
法诺的积极特征增加了三倍
DOI：
10.1023/a:1000158618674
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发表时间：
1997
影响因子：
1.8
通讯作者：
N. Shepherd
中科院分区：
文献类型：
--
作者：
N. Shepherd
证明了Picard数为1的光滑Fano三重图X的正特征双有理分类与非特征零的双有理分类是相同的。特别是，没有外来的这样的Fanos;阿萨分类的结果，X被证明是可提升的，并包含一条线。主要采用的技术是埃克达尔和森和竹内。
We show that the birational classification in positive characteristicof smooth Fano threefolds X with Picard number 1 is the same as incharacteristic zero. In particular, there are no exotic such Fanos; asa consequence of the classification, X is shown to be liftable withoutramification to characteristic zero and to contain a line. The maintechniques employed are those of Ekedahl and of Mori and Takeuchi.