Graded components of local cohomology modules

被引：3
|
作者：
Puthenpurakal, Tony J. [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Mumbai 400076, Maharashtra, India
来源：
COLLECTANEA MATHEMATICA | 2022年 / 73卷 / 01期
关键词：
Local cohomology; Graded local cohomology; Ring of differential operators; Weyl algebra; De Rham (and Koszul);
D O I：
10.1007/s13348-020-00311-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let A be a regular ring containing a field of characteristic zero and let R = A[X-1, ... , X-m]. Consider R as standard graded with deg A = 0 and deg X-i = 1 for all i. In this paper we present a comprehensive study of graded components of local cohomology s H-I(i)(R) where I is an arbitrary homogeneous ideal in R. Our study seems to be the first in this regard.
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页码：135 / 171
页数：37
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