Local duality for bigraded modules

被引:3
作者
Herzog, Juergen [1 ]
Rahimi, Ahad [1 ]
机构
[1] Univ Duisburg Essen, Fachbereich Math & Informat, D-45117 Essen, Germany
关键词
D O I
10.1215/ijm/1258735329
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we study local cohomology of finitely generated bigraded modules over a standard bigraded ring with respect to the irrelevant bigraded ideals and establish a duality theorem. Several applications are considered.
引用
收藏
页码:137 / 150
页数:14
相关论文
共 16 条
[1]   ASYMPTOTIC DEPTH AND CONNECTEDNESS IN PROJECTIVE SCHEMES [J].
BRODMANN, M .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 108 (03) :573-581
[2]  
Brodmann M, 2005, CONTEMP MATH, V390, P31
[3]   Low-codimensional associated primes of graded components of local cohomology modules [J].
Brodmann, M ;
Fumasoli, S ;
Lim, CS .
JOURNAL OF ALGEBRA, 2004, 275 (02) :867-882
[4]   Cohomological patterns of coherent sheaves over projective schemes [J].
Brodmann, M ;
Hellus, M .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 172 (2-3) :165-182
[5]  
Brodmann M., 1998, CAMBRIDGE STUDIES AD, V60
[6]  
Bruns W., 1993, CAMBRIDGE STUDIES AD, V39
[7]   Asymptotic behaviour of the Castelnuovo-Mumford regularity [J].
Cutkosky, SD ;
Herzog, J ;
Trung, NV .
COMPOSITIO MATHEMATICA, 1999, 118 (03) :243-261
[8]   Failure of tameness for local cohomology [J].
Cutkosky, Steven Dale ;
Herzog, Juergen .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2007, 211 (02) :428-432
[9]   The depth of powers of an ideal [J].
Herzog, J ;
Hibi, T .
JOURNAL OF ALGEBRA, 2005, 291 (02) :534-550
[10]   Some properties of top graded local cohomology modules [J].
Katzman, M ;
Sharp, RY .
JOURNAL OF ALGEBRA, 2003, 259 (02) :599-612