The module Dfs for locally quasi-homogeneous free divisors

被引：32
|
作者：
Calderón-Moreno, F [1 ]
Narváez-Macarro, L [1 ]
机构：
[1] Univ Seville, Dept Algebra, Fac Matemat, E-41080 Seville, Spain
来源：
COMPOSITIO MATHEMATICA | 2002年 / 134卷 / 01期
关键词：
de Rham complex; D-module; free divisor; ideal of linear type; Koszul complex; locally quasi-homogeneous; Spencer complex;
D O I：
10.1023/A:1020228824102
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find explicit free resolutions for the D-modules Df(s) and D[s] f(s)/ D[s]f(s+1), where f is a reduced equation of a locally quasi-homogeneous free divisor. These results are based on the fact that every locally quasi-homogeneous free divisor is Koszul free, which is also proved in this paper.
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收藏
页码：59 / 74
页数：16
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