On the finiteness of Bass numbers of local cohomology modules

被引：38
作者：
Kawasaki, K
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 11期
关键词：
local cohomology; cofinite; Bass number; analytically irreducible; Ext;
D O I：
10.1090/S0002-9939-96-03399-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we show that, if I is an ideal of dimension 1 of an analytically irreducible local ring, then the Bass numbers of local cohomology modules with support in V(I) are finite.
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页码：3275 / 3279
页数：5
相关论文
共 19 条
[1]  
Bass H., 1963, MATH Z, V82, P8, DOI DOI 10.1007/BF01112819
[2]  
Bourbaki N., 1961, ALGEBRE COMMUTATIVE
[3]  
DELFINO D, 1994, MATH P CAMBRIDGE PHI, V115, P421
[4]  
Grothendieck A., 2005, DOCUMENTS MATH, V4
[5]  
Grothendieck A., 1967, LECT NOTES MATH, V41
[6]   AFFINE DUALITY AND COFINITENESS [J].
HARTSHORNE, R .
INVENTIONES MATHEMATICAE, 1970, 9 (02) :145-+
[7]   COHOMOLOGICAL DIMENSION OF ALGEBRAIC VARIETIES [J].
HARTSHORNE, R .
ANNALS OF MATHEMATICS, 1968, 88 (03) :403-+
[8]  
HARTSHORNE R, 1977, GRADUATE TEXTS MATH, V52
[9]  
HUNEKE C, 1992, RES NOT MAT, V2, P93
[10]   COFINITENESS AND VANISHING OF LOCAL COHOMOLOGY MODULES [J].
HUNEKE, C ;
KOH, J .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1991, 110 :421-429
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