MODULES WITH REDUCIBLE COMPLEXITY, II

被引：2
作者：
Bergh, Petter Andreas [1 ]
机构：
[1] Math Inst, Oxford OX1 3LB, England
来源：
COMMUNICATIONS IN ALGEBRA | 2009年 / 37卷 / 06期
关键词：
Complete intersections; Complexity; Vanishing of cohomology; SUPPORT VARIETIES; COMPLETE-INTERSECTIONS; LOCAL-RINGS; COHOMOLOGY; DIMENSION;
D O I：
10.1080/00927870802210084
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We continue studying the class of modules having reducible complexity over a local ring. In particular, a method is provided for computing an upper bound of the complexity of such a module, in terms of vanishing of certain cohomology modules. We then specialize to complete intersections, which are precisely the rings over which all modules have finite complexity.
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页码：1908 / 1920
页数：13
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