Cofiniteness of local cohomology modules for ideals of dimension one

被引:92
|
作者
Yoshida, KI
机构
[1] Graduate School of Polymathematics, Nagoya University, Chikusa-ku
关键词
D O I
10.1017/S0027763000006371
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we prove that for any ideal I of dimension one H-I(i)(M) is I-cofinite for all i and for any finite A-module M. Furthermore; for any ideal I over any regular local ring A, we investigate the relationship between I-cofiniteness and vanishing for local cohomology modules H-I(i)(M).
引用
收藏
页码:179 / 191
页数:13
相关论文
共 50 条