Deformations of canonical singularities
Deformations of canonical singularities
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DOI：
10.1090/s0894-0347-99-00285-4
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发表时间：
1997-12
影响因子：
3.9
通讯作者：
Y. Kawamata
中科院分区：
文献类型：
--
作者：
Y. Kawamata
M.里德定义的概念规范奇点出现在规范模型的代数簇，其规范环的生成。从代数簇的分类理论的观点来看，可以预期只有正则奇点的簇的小变形也只有正则奇点。本文的主要结果表明，情况是这样的：
M. Reid defined the concept of canonical singularities as those which appear on canonical models of algebraic varieties whose canonical rings are finitely generated. From the view point of the classification theory of algebraic varieties, it is expected that small deformations of a variety which has only canonical singularities have only canonical singularities. The main result of this paper states that this is the case: