On Kodaira vanishing for singular varieties
On Kodaira vanishing for singular varieties
复制标题
论小平因单一品种而消失
DOI：
--
复制
发表时间：
1989
期刊：
影响因子：
--
通讯作者：
D. Jaffe
中科院分区：
文献类型：
--
作者：
D. Arapura;D. Jaffe
设X是一个具有充足线丛2的复射影簇，我们证明了对任意i < codim[Sing（X）]，Hi（X，Y-1）= 0，只要X满足Serre条件Si+，.我们还举例说明了这些结果是尖锐的。最后，我们证明了一个消失定理（HI）的正规簇
If X is a complex projective variety with an ample line bundle 2, we show that Hi(X,Y-1) = 0 for any i < codim[Sing(X)], provided that X satisfies Serre's condition Si+, . We also give examples to show that these results are sharp. Finally, we prove a vanishing theorem (for HI ) for seminormal varieties