Symmetric powers of complete modules over a two-dimensional regular local ring

被引：21

作者：

Katz, D ^{[1
]}

Kodiyalam, V ^{[1
]}

机构：

[1] UNIV KANSAS,DEPT MATH,LAWRENCE,KS 66045

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 349卷 / 02期

关键词：

D O I：

10.1090/S0002-9947-97-01819-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (R,m) be a two-dimensional regular local ring with infinite residue field. For a finitely generated, torsion-free R-module A, write A(n) for the nth symmetric power of A, mod torsion. We study the modules A(n), n greater than or equal to 1, when A is complete (i.e., integrally closed). In particular, we show that B . A = A(2), for any minimal reduction B subset of or equal to A and that the ring +(n greater than or equal to 1)A(n) is Cohen-Macaulay.

引用

页码：747 / 762

页数：16

共 13 条

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[2]

Buchsbaum D.A., 1964, T AM MATH SOC, V111, P197, DOI DOI 10.2307/1994241

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